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Finding the Fourth Proportional to 10,702.20, 16,053.30 and 9,406.20

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Solution

The fourth proportional to 10,702.20, 16,053.30 and 9,406.20 is: 14,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.20 : 16,053.30 = 9,406.20 : x
  2. Step 2: Convert to fraction form
    10,702.20/16,053.30 = 9,406.20/x
  3. Step 3: Cross multiply
    10,702.20x = 16,053.30 × 9,406.20
  4. Step 4: Simplify right side
    10,702.20x = 151,000,550.46
  5. Step 5: Solve for x
    x = 151,000,550.46/10,702.20
  6. Step 6: Final answer
    x = 14,109.30

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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.