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Finding the Fourth Proportional to 10,608.67, 14,642.04 and 7,023.70

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Solution

The fourth proportional to 10,608.67, 14,642.04 and 7,023.70 is: 9,694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.67 : 14,642.04 = 7,023.70 : x
  2. Step 2: Convert to fraction form
    10,608.67/14,642.04 = 7,023.70/x
  3. Step 3: Cross multiply
    10,608.67x = 14,642.04 × 7,023.70
  4. Step 4: Simplify right side
    10,608.67x = 102,841,296.35
  5. Step 5: Solve for x
    x = 102,841,296.35/10,608.67
  6. Step 6: Final answer
    x = 9,694.08

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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.