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Finding the Fourth Proportional to 6,374.47, 9,547.84 and 3,080.63

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Solution

The fourth proportional to 6,374.47, 9,547.84 and 3,080.63 is: 4,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.47 : 9,547.84 = 3,080.63 : x
  2. Step 2: Convert to fraction form
    6,374.47/9,547.84 = 3,080.63/x
  3. Step 3: Cross multiply
    6,374.47x = 9,547.84 × 3,080.63
  4. Step 4: Simplify right side
    6,374.47x = 29,413,306.90
  5. Step 5: Solve for x
    x = 29,413,306.90/6,374.47
  6. Step 6: Final answer
    x = 4,614.24

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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.