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Finding the Fourth Proportional to 9,599.60, 14,399.40 and 6,143.60

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Solution

The fourth proportional to 9,599.60, 14,399.40 and 6,143.60 is: 9,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.60 : 14,399.40 = 6,143.60 : x
  2. Step 2: Convert to fraction form
    9,599.60/14,399.40 = 6,143.60/x
  3. Step 3: Cross multiply
    9,599.60x = 14,399.40 × 6,143.60
  4. Step 4: Simplify right side
    9,599.60x = 88,464,153.84
  5. Step 5: Solve for x
    x = 88,464,153.84/9,599.60
  6. Step 6: Final answer
    x = 9,215.40

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Half 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.