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Finding the Fourth Proportional to 9,851.92, 14,780.30 and 4,008.04

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Solution

The fourth proportional to 9,851.92, 14,780.30 and 4,008.04 is: 6,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.92 : 14,780.30 = 4,008.04 : x
  2. Step 2: Convert to fraction form
    9,851.92/14,780.30 = 4,008.04/x
  3. Step 3: Cross multiply
    9,851.92x = 14,780.30 × 4,008.04
  4. Step 4: Simplify right side
    9,851.92x = 59,240,033.61
  5. Step 5: Solve for x
    x = 59,240,033.61/9,851.92
  6. Step 6: Final answer
    x = 6,013.04

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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.