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Finding the Fourth Proportional to 7,448.95, 10,279.15 and 4,092.22

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Solution

The fourth proportional to 7,448.95, 10,279.15 and 4,092.22 is: 5,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.95 : 10,279.15 = 4,092.22 : x
  2. Step 2: Convert to fraction form
    7,448.95/10,279.15 = 4,092.22/x
  3. Step 3: Cross multiply
    7,448.95x = 10,279.15 × 4,092.22
  4. Step 4: Simplify right side
    7,448.95x = 42,064,507.28
  5. Step 5: Solve for x
    x = 42,064,507.28/7,448.95
  6. Step 6: Final answer
    x = 5,647.04

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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.