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Finding the Fourth Proportional to 7,038.86, 9,714.96 and 4,524.14

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Solution

The fourth proportional to 7,038.86, 9,714.96 and 4,524.14 is: 6,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.86 : 9,714.96 = 4,524.14 : x
  2. Step 2: Convert to fraction form
    7,038.86/9,714.96 = 4,524.14/x
  3. Step 3: Cross multiply
    7,038.86x = 9,714.96 × 4,524.14
  4. Step 4: Simplify right side
    7,038.86x = 43,951,839.13
  5. Step 5: Solve for x
    x = 43,951,839.13/7,038.86
  6. Step 6: Final answer
    x = 6,244.17

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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.