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Finding the Fourth Proportional to 6,909.67, 9,532.29 and 5,411.58

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Solution

The fourth proportional to 6,909.67, 9,532.29 and 5,411.58 is: 7,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.67 : 9,532.29 = 5,411.58 : x
  2. Step 2: Convert to fraction form
    6,909.67/9,532.29 = 5,411.58/x
  3. Step 3: Cross multiply
    6,909.67x = 9,532.29 × 5,411.58
  4. Step 4: Simplify right side
    6,909.67x = 51,584,749.92
  5. Step 5: Solve for x
    x = 51,584,749.92/6,909.67
  6. Step 6: Final answer
    x = 7,465.59

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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.