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Finding the Fourth Proportional to 9,607.60, 14,411.40 and 8,538.40

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Solution

The fourth proportional to 9,607.60, 14,411.40 and 8,538.40 is: 12,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.60 : 14,411.40 = 8,538.40 : x
  2. Step 2: Convert to fraction form
    9,607.60/14,411.40 = 8,538.40/x
  3. Step 3: Cross multiply
    9,607.60x = 14,411.40 × 8,538.40
  4. Step 4: Simplify right side
    9,607.60x = 123,050,297.76
  5. Step 5: Solve for x
    x = 123,050,297.76/9,607.60
  6. Step 6: Final answer
    x = 12,807.60

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.