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Finding the Fourth Proportional to 9,952.86, 13,736.19 and 6,426.30

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Solution

The fourth proportional to 9,952.86, 13,736.19 and 6,426.30 is: 8,869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.86 : 13,736.19 = 6,426.30 : x
  2. Step 2: Convert to fraction form
    9,952.86/13,736.19 = 6,426.30/x
  3. Step 3: Cross multiply
    9,952.86x = 13,736.19 × 6,426.30
  4. Step 4: Simplify right side
    9,952.86x = 88,272,877.80
  5. Step 5: Solve for x
    x = 88,272,877.80/9,952.86
  6. Step 6: Final answer
    x = 8,869.10

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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.