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Finding the Fourth Proportional to 9,838.92, 14,762.10 and 3,997.08

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Solution

The fourth proportional to 9,838.92, 14,762.10 and 3,997.08 is: 5,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.92 : 14,762.10 = 3,997.08 : x
  2. Step 2: Convert to fraction form
    9,838.92/14,762.10 = 3,997.08/x
  3. Step 3: Cross multiply
    9,838.92x = 14,762.10 × 3,997.08
  4. Step 4: Simplify right side
    9,838.92x = 59,005,294.67
  5. Step 5: Solve for x
    x = 59,005,294.67/9,838.92
  6. Step 6: Final answer
    x = 5,997.13

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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.