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Finding the Fourth Proportional to 12,909.66, 17,814.57 and 7,531.47

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Solution

The fourth proportional to 12,909.66, 17,814.57 and 7,531.47 is: 10,392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.66 : 17,814.57 = 7,531.47 : x
  2. Step 2: Convert to fraction form
    12,909.66/17,814.57 = 7,531.47/x
  3. Step 3: Cross multiply
    12,909.66x = 17,814.57 × 7,531.47
  4. Step 4: Simplify right side
    12,909.66x = 134,169,899.52
  5. Step 5: Solve for x
    x = 134,169,899.52/12,909.66
  6. Step 6: Final answer
    x = 10,392.98

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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.