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Finding the Fourth Proportional to 6,465.44, 9,702.42 and 3,545.80

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Solution

The fourth proportional to 6,465.44, 9,702.42 and 3,545.80 is: 5,321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.44 : 9,702.42 = 3,545.80 : x
  2. Step 2: Convert to fraction form
    6,465.44/9,702.42 = 3,545.80/x
  3. Step 3: Cross multiply
    6,465.44x = 9,702.42 × 3,545.80
  4. Step 4: Simplify right side
    6,465.44x = 34,402,803.28
  5. Step 5: Solve for x
    x = 34,402,803.28/6,465.44
  6. Step 6: Final answer
    x = 5,321.03

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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.