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Finding the Fourth Proportional to 9,502.92, 14,254.38 and 6,029.64

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Solution

The fourth proportional to 9,502.92, 14,254.38 and 6,029.64 is: 9,044.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.92 : 14,254.38 = 6,029.64 : x
  2. Step 2: Convert to fraction form
    9,502.92/14,254.38 = 6,029.64/x
  3. Step 3: Cross multiply
    9,502.92x = 14,254.38 × 6,029.64
  4. Step 4: Simplify right side
    9,502.92x = 85,948,779.82
  5. Step 5: Solve for x
    x = 85,948,779.82/9,502.92
  6. Step 6: Final answer
    x = 9,044.46

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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.