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Finding the Fourth Proportional to 5,097.97, 7,646.96 and 1,400.59

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Solution

The fourth proportional to 5,097.97, 7,646.96 and 1,400.59 is: 2,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.97 : 7,646.96 = 1,400.59 : x
  2. Step 2: Convert to fraction form
    5,097.97/7,646.96 = 1,400.59/x
  3. Step 3: Cross multiply
    5,097.97x = 7,646.96 × 1,400.59
  4. Step 4: Simplify right side
    5,097.97x = 10,710,255.71
  5. Step 5: Solve for x
    x = 10,710,255.71/5,097.97
  6. Step 6: Final answer
    x = 2,100.89

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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.