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Finding the Fourth Proportional to 6,547.86, 9,034.89 and 3,714.63

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Solution

The fourth proportional to 6,547.86, 9,034.89 and 3,714.63 is: 5,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.86 : 9,034.89 = 3,714.63 : x
  2. Step 2: Convert to fraction form
    6,547.86/9,034.89 = 3,714.63/x
  3. Step 3: Cross multiply
    6,547.86x = 9,034.89 × 3,714.63
  4. Step 4: Simplify right side
    6,547.86x = 33,561,273.44
  5. Step 5: Solve for x
    x = 33,561,273.44/6,547.86
  6. Step 6: Final answer
    x = 5,125.53

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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.