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Finding the Fourth Proportional to 7,044.64, 9,699.92 and 6,257.32

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Solution

The fourth proportional to 7,044.64, 9,699.92 and 6,257.32 is: 8,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.64 : 9,699.92 = 6,257.32 : x
  2. Step 2: Convert to fraction form
    7,044.64/9,699.92 = 6,257.32/x
  3. Step 3: Cross multiply
    7,044.64x = 9,699.92 × 6,257.32
  4. Step 4: Simplify right side
    7,044.64x = 60,695,503.41
  5. Step 5: Solve for x
    x = 60,695,503.41/7,044.64
  6. Step 6: Final answer
    x = 8,615.84

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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.