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Finding the Fourth Proportional to 9,901.10, 14,863.80 and 5,462.30

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Solution

The fourth proportional to 9,901.10, 14,863.80 and 5,462.30 is: 8,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.10 : 14,863.80 = 5,462.30 : x
  2. Step 2: Convert to fraction form
    9,901.10/14,863.80 = 5,462.30/x
  3. Step 3: Cross multiply
    9,901.10x = 14,863.80 × 5,462.30
  4. Step 4: Simplify right side
    9,901.10x = 81,190,534.74
  5. Step 5: Solve for x
    x = 81,190,534.74/9,901.10
  6. Step 6: Final answer
    x = 8,200.15

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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.