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Finding the Fourth Proportional to 7,535, 10,398.30 and 4,591

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Solution

The fourth proportional to 7,535, 10,398.30 and 4,591 is: 6,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535 : 10,398.30 = 4,591 : x
  2. Step 2: Convert to fraction form
    7,535/10,398.30 = 4,591/x
  3. Step 3: Cross multiply
    7,535x = 10,398.30 × 4,591
  4. Step 4: Simplify right side
    7,535x = 47,738,595.30
  5. Step 5: Solve for x
    x = 47,738,595.30/7,535
  6. Step 6: Final answer
    x = 6,335.58

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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.