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Finding the Fourth Proportional to 7,158.57, 9,882.18 and 4,802.28

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Solution

The fourth proportional to 7,158.57, 9,882.18 and 4,802.28 is: 6,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.57 : 9,882.18 = 4,802.28 : x
  2. Step 2: Convert to fraction form
    7,158.57/9,882.18 = 4,802.28/x
  3. Step 3: Cross multiply
    7,158.57x = 9,882.18 × 4,802.28
  4. Step 4: Simplify right side
    7,158.57x = 47,456,995.37
  5. Step 5: Solve for x
    x = 47,456,995.37/7,158.57
  6. Step 6: Final answer
    x = 6,629.40

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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.