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Finding the Fourth Proportional to 9,703.92, 14,542.92 and 5,314.80

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Solution

The fourth proportional to 9,703.92, 14,542.92 and 5,314.80 is: 7,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.92 : 14,542.92 = 5,314.80 : x
  2. Step 2: Convert to fraction form
    9,703.92/14,542.92 = 5,314.80/x
  3. Step 3: Cross multiply
    9,703.92x = 14,542.92 × 5,314.80
  4. Step 4: Simplify right side
    9,703.92x = 77,292,711.22
  5. Step 5: Solve for x
    x = 77,292,711.22/9,703.92
  6. Step 6: Final answer
    x = 7,965.10

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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.