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Finding the Fourth Proportional to 5,878.13, 8,802.56 and 4,114.87

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Solution

The fourth proportional to 5,878.13, 8,802.56 and 4,114.87 is: 6,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.13 : 8,802.56 = 4,114.87 : x
  2. Step 2: Convert to fraction form
    5,878.13/8,802.56 = 4,114.87/x
  3. Step 3: Cross multiply
    5,878.13x = 8,802.56 × 4,114.87
  4. Step 4: Simplify right side
    5,878.13x = 36,221,378.35
  5. Step 5: Solve for x
    x = 36,221,378.35/5,878.13
  6. Step 6: Final answer
    x = 6,162.06

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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.