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Finding the Fourth Proportional to 7,391.59, 10,200.48 and 4,409.12

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Solution

The fourth proportional to 7,391.59, 10,200.48 and 4,409.12 is: 6,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.59 : 10,200.48 = 4,409.12 : x
  2. Step 2: Convert to fraction form
    7,391.59/10,200.48 = 4,409.12/x
  3. Step 3: Cross multiply
    7,391.59x = 10,200.48 × 4,409.12
  4. Step 4: Simplify right side
    7,391.59x = 44,975,140.38
  5. Step 5: Solve for x
    x = 44,975,140.38/7,391.59
  6. Step 6: Final answer
    x = 6,084.64

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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.