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Finding the Fourth Proportional to 9,811.76, 13,534.20 and 5,830.16

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Solution

The fourth proportional to 9,811.76, 13,534.20 and 5,830.16 is: 8,042.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.76 : 13,534.20 = 5,830.16 : x
  2. Step 2: Convert to fraction form
    9,811.76/13,534.20 = 5,830.16/x
  3. Step 3: Cross multiply
    9,811.76x = 13,534.20 × 5,830.16
  4. Step 4: Simplify right side
    9,811.76x = 78,906,551.47
  5. Step 5: Solve for x
    x = 78,906,551.47/9,811.76
  6. Step 6: Final answer
    x = 8,042.04

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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.