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Finding the Fourth Proportional to 9,657.53, 13,329.06 and 5,465.78

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Solution

The fourth proportional to 9,657.53, 13,329.06 and 5,465.78 is: 7,543.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.53 : 13,329.06 = 5,465.78 : x
  2. Step 2: Convert to fraction form
    9,657.53/13,329.06 = 5,465.78/x
  3. Step 3: Cross multiply
    9,657.53x = 13,329.06 × 5,465.78
  4. Step 4: Simplify right side
    9,657.53x = 72,853,709.57
  5. Step 5: Solve for x
    x = 72,853,709.57/9,657.53
  6. Step 6: Final answer
    x = 7,543.72

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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.