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Finding the Fourth Proportional to 4,714.65, 6,498.63 and 4,151.52

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Solution

The fourth proportional to 4,714.65, 6,498.63 and 4,151.52 is: 5,722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.65 : 6,498.63 = 4,151.52 : x
  2. Step 2: Convert to fraction form
    4,714.65/6,498.63 = 4,151.52/x
  3. Step 3: Cross multiply
    4,714.65x = 6,498.63 × 4,151.52
  4. Step 4: Simplify right side
    4,714.65x = 26,979,192.42
  5. Step 5: Solve for x
    x = 26,979,192.42/4,714.65
  6. Step 6: Final answer
    x = 5,722.42

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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.