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Finding the Fourth Proportional to 6,378.40, 8,802.10 and 3,545.92

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Solution

The fourth proportional to 6,378.40, 8,802.10 and 3,545.92 is: 4,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.40 : 8,802.10 = 3,545.92 : x
  2. Step 2: Convert to fraction form
    6,378.40/8,802.10 = 3,545.92/x
  3. Step 3: Cross multiply
    6,378.40x = 8,802.10 × 3,545.92
  4. Step 4: Simplify right side
    6,378.40x = 31,211,542.43
  5. Step 5: Solve for x
    x = 31,211,542.43/6,378.40
  6. Step 6: Final answer
    x = 4,893.32

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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.