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Finding the Fourth Proportional to 9,894.13, 13,654.70 and 5,702.38

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Solution

The fourth proportional to 9,894.13, 13,654.70 and 5,702.38 is: 7,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.13 : 13,654.70 = 5,702.38 : x
  2. Step 2: Convert to fraction form
    9,894.13/13,654.70 = 5,702.38/x
  3. Step 3: Cross multiply
    9,894.13x = 13,654.70 × 5,702.38
  4. Step 4: Simplify right side
    9,894.13x = 77,864,288.19
  5. Step 5: Solve for x
    x = 77,864,288.19/9,894.13
  6. Step 6: Final answer
    x = 7,869.75

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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.