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Finding the Fourth Proportional to 9,909.93, 13,678.33 and 5,934.15

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Solution

The fourth proportional to 9,909.93, 13,678.33 and 5,934.15 is: 8,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.93 : 13,678.33 = 5,934.15 : x
  2. Step 2: Convert to fraction form
    9,909.93/13,678.33 = 5,934.15/x
  3. Step 3: Cross multiply
    9,909.93x = 13,678.33 × 5,934.15
  4. Step 4: Simplify right side
    9,909.93x = 81,169,261.97
  5. Step 5: Solve for x
    x = 81,169,261.97/9,909.93
  6. Step 6: Final answer
    x = 8,190.70

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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.