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Finding the Fourth Proportional to 15,973.16, 22,042.04 and 9,165.74

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Solution

The fourth proportional to 15,973.16, 22,042.04 and 9,165.74 is: 12,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,973.16 : 22,042.04 = 9,165.74 : x
  2. Step 2: Convert to fraction form
    15,973.16/22,042.04 = 9,165.74/x
  3. Step 3: Cross multiply
    15,973.16x = 22,042.04 × 9,165.74
  4. Step 4: Simplify right side
    15,973.16x = 202,031,607.71
  5. Step 5: Solve for x
    x = 202,031,607.71/15,973.16
  6. Step 6: Final answer
    x = 12,648.19

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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.