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Finding the Fourth Proportional to 7,381.95, 10,200.06 and 5,902.08

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Solution

The fourth proportional to 7,381.95, 10,200.06 and 5,902.08 is: 8,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.95 : 10,200.06 = 5,902.08 : x
  2. Step 2: Convert to fraction form
    7,381.95/10,200.06 = 5,902.08/x
  3. Step 3: Cross multiply
    7,381.95x = 10,200.06 × 5,902.08
  4. Step 4: Simplify right side
    7,381.95x = 60,201,570.12
  5. Step 5: Solve for x
    x = 60,201,570.12/7,381.95
  6. Step 6: Final answer
    x = 8,155.24

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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.