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Finding the Fourth Proportional to 14,053.47, 19,393.61 and 7,765.71

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Solution

The fourth proportional to 14,053.47, 19,393.61 and 7,765.71 is: 10,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.47 : 19,393.61 = 7,765.71 : x
  2. Step 2: Convert to fraction form
    14,053.47/19,393.61 = 7,765.71/x
  3. Step 3: Cross multiply
    14,053.47x = 19,393.61 × 7,765.71
  4. Step 4: Simplify right side
    14,053.47x = 150,605,151.11
  5. Step 5: Solve for x
    x = 150,605,151.11/14,053.47
  6. Step 6: Final answer
    x = 10,716.58

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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.