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Finding the Fourth Proportional to 6,378.65, 8,802.03 and 3,545.80

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Solution

The fourth proportional to 6,378.65, 8,802.03 and 3,545.80 is: 4,892.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.65 : 8,802.03 = 3,545.80 : x
  2. Step 2: Convert to fraction form
    6,378.65/8,802.03 = 3,545.80/x
  3. Step 3: Cross multiply
    6,378.65x = 8,802.03 × 3,545.80
  4. Step 4: Simplify right side
    6,378.65x = 31,210,224.10
  5. Step 5: Solve for x
    x = 31,210,224.10/6,378.65
  6. Step 6: Final answer
    x = 4,892.92

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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.