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Finding the Fourth Proportional to 4,867.08, 6,714.24 and 4,678.47

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Solution

The fourth proportional to 4,867.08, 6,714.24 and 4,678.47 is: 6,454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.08 : 6,714.24 = 4,678.47 : x
  2. Step 2: Convert to fraction form
    4,867.08/6,714.24 = 4,678.47/x
  3. Step 3: Cross multiply
    4,867.08x = 6,714.24 × 4,678.47
  4. Step 4: Simplify right side
    4,867.08x = 31,412,370.41
  5. Step 5: Solve for x
    x = 31,412,370.41/4,867.08
  6. Step 6: Final answer
    x = 6,454.05

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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.