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Finding the Fourth Proportional to 25,296.67, 37,946.84 and 9,714.29

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Solution

The fourth proportional to 25,296.67, 37,946.84 and 9,714.29 is: 14,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,296.67 : 37,946.84 = 9,714.29 : x
  2. Step 2: Convert to fraction form
    25,296.67/37,946.84 = 9,714.29/x
  3. Step 3: Cross multiply
    25,296.67x = 37,946.84 × 9,714.29
  4. Step 4: Simplify right side
    25,296.67x = 368,626,654.64
  5. Step 5: Solve for x
    x = 368,626,654.64/25,296.67
  6. Step 6: Final answer
    x = 14,572.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.