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Finding the Fourth Proportional to 14,302.26, 19,737.48 and 7,929.18

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Solution

The fourth proportional to 14,302.26, 19,737.48 and 7,929.18 is: 10,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.26 : 19,737.48 = 7,929.18 : x
  2. Step 2: Convert to fraction form
    14,302.26/19,737.48 = 7,929.18/x
  3. Step 3: Cross multiply
    14,302.26x = 19,737.48 × 7,929.18
  4. Step 4: Simplify right side
    14,302.26x = 156,502,031.67
  5. Step 5: Solve for x
    x = 156,502,031.67/14,302.26
  6. Step 6: Final answer
    x = 10,942.47

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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.