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Finding the Fourth Proportional to 9,607.30, 14,315.44 and 8,559.25

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Solution

The fourth proportional to 9,607.30, 14,315.44 and 8,559.25 is: 12,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.30 : 14,315.44 = 8,559.25 : x
  2. Step 2: Convert to fraction form
    9,607.30/14,315.44 = 8,559.25/x
  3. Step 3: Cross multiply
    9,607.30x = 14,315.44 × 8,559.25
  4. Step 4: Simplify right side
    9,607.30x = 122,529,358.24
  5. Step 5: Solve for x
    x = 122,529,358.24/9,607.30
  6. Step 6: Final answer
    x = 12,753.78

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.