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Finding the Fourth Proportional to 7,224.76, 9,970.36 and 4,391.16

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Solution

The fourth proportional to 7,224.76, 9,970.36 and 4,391.16 is: 6,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.76 : 9,970.36 = 4,391.16 : x
  2. Step 2: Convert to fraction form
    7,224.76/9,970.36 = 4,391.16/x
  3. Step 3: Cross multiply
    7,224.76x = 9,970.36 × 4,391.16
  4. Step 4: Simplify right side
    7,224.76x = 43,781,446.02
  5. Step 5: Solve for x
    x = 43,781,446.02/7,224.76
  6. Step 6: Final answer
    x = 6,059.92

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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.