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Finding the Fourth Proportional to 6,445.16, 9,648.26 and 5,829.14

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Solution

The fourth proportional to 6,445.16, 9,648.26 and 5,829.14 is: 8,726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.16 : 9,648.26 = 5,829.14 : x
  2. Step 2: Convert to fraction form
    6,445.16/9,648.26 = 5,829.14/x
  3. Step 3: Cross multiply
    6,445.16x = 9,648.26 × 5,829.14
  4. Step 4: Simplify right side
    6,445.16x = 56,241,058.30
  5. Step 5: Solve for x
    x = 56,241,058.30/6,445.16
  6. Step 6: Final answer
    x = 8,726.09

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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.