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Finding the Fourth Proportional to 6,470.69, 9,714.29 and 5,502.96

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Solution

The fourth proportional to 6,470.69, 9,714.29 and 5,502.96 is: 8,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.69 : 9,714.29 = 5,502.96 : x
  2. Step 2: Convert to fraction form
    6,470.69/9,714.29 = 5,502.96/x
  3. Step 3: Cross multiply
    6,470.69x = 9,714.29 × 5,502.96
  4. Step 4: Simplify right side
    6,470.69x = 53,457,321.78
  5. Step 5: Solve for x
    x = 53,457,321.78/6,470.69
  6. Step 6: Final answer
    x = 8,261.46

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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.