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Finding the Fourth Proportional to 14,909.18, 20,566.10 and 9,310.46

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Solution

The fourth proportional to 14,909.18, 20,566.10 and 9,310.46 is: 12,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.18 : 20,566.10 = 9,310.46 : x
  2. Step 2: Convert to fraction form
    14,909.18/20,566.10 = 9,310.46/x
  3. Step 3: Cross multiply
    14,909.18x = 20,566.10 × 9,310.46
  4. Step 4: Simplify right side
    14,909.18x = 191,479,702.02
  5. Step 5: Solve for x
    x = 191,479,702.02/14,909.18
  6. Step 6: Final answer
    x = 12,843.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.