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Finding the Fourth Proportional to 14,307.48, 19,744.49 and 7,934.20

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Solution

The fourth proportional to 14,307.48, 19,744.49 and 7,934.20 is: 10,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.48 : 19,744.49 = 7,934.20 : x
  2. Step 2: Convert to fraction form
    14,307.48/19,744.49 = 7,934.20/x
  3. Step 3: Cross multiply
    14,307.48x = 19,744.49 × 7,934.20
  4. Step 4: Simplify right side
    14,307.48x = 156,656,703.03
  5. Step 5: Solve for x
    x = 156,656,703.03/14,307.48
  6. Step 6: Final answer
    x = 10,949.29

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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.