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Finding the Fourth Proportional to 9,657.40, 14,465.02 and 5,753.20

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Solution

The fourth proportional to 9,657.40, 14,465.02 and 5,753.20 is: 8,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.40 : 14,465.02 = 5,753.20 : x
  2. Step 2: Convert to fraction form
    9,657.40/14,465.02 = 5,753.20/x
  3. Step 3: Cross multiply
    9,657.40x = 14,465.02 × 5,753.20
  4. Step 4: Simplify right side
    9,657.40x = 83,220,153.06
  5. Step 5: Solve for x
    x = 83,220,153.06/9,657.40
  6. Step 6: Final answer
    x = 8,617.24

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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.