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Finding the Fourth Proportional to 9,675.42, 14,397.24 and 9,642.61

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Solution

The fourth proportional to 9,675.42, 14,397.24 and 9,642.61 is: 14,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.42 : 14,397.24 = 9,642.61 : x
  2. Step 2: Convert to fraction form
    9,675.42/14,397.24 = 9,642.61/x
  3. Step 3: Cross multiply
    9,675.42x = 14,397.24 × 9,642.61
  4. Step 4: Simplify right side
    9,675.42x = 138,826,970.40
  5. Step 5: Solve for x
    x = 138,826,970.40/9,675.42
  6. Step 6: Final answer
    x = 14,348.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.