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Finding the Fourth Proportional to 10,654.56, 14,714.88 and 7,291.44

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Solution

The fourth proportional to 10,654.56, 14,714.88 and 7,291.44 is: 10,070.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.56 : 14,714.88 = 7,291.44 : x
  2. Step 2: Convert to fraction form
    10,654.56/14,714.88 = 7,291.44/x
  3. Step 3: Cross multiply
    10,654.56x = 14,714.88 × 7,291.44
  4. Step 4: Simplify right side
    10,654.56x = 107,292,664.63
  5. Step 5: Solve for x
    x = 107,292,664.63/10,654.56
  6. Step 6: Final answer
    x = 10,070.12

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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.