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Finding the Fourth Proportional to 4,714.65, 6,502.95 and 2,724.89

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Solution

The fourth proportional to 4,714.65, 6,502.95 and 2,724.89 is: 3,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.65 : 6,502.95 = 2,724.89 : x
  2. Step 2: Convert to fraction form
    4,714.65/6,502.95 = 2,724.89/x
  3. Step 3: Cross multiply
    4,714.65x = 6,502.95 × 2,724.89
  4. Step 4: Simplify right side
    4,714.65x = 17,719,790.91
  5. Step 5: Solve for x
    x = 17,719,790.91/4,714.65
  6. Step 6: Final answer
    x = 3,758.45

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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.