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Finding the Fourth Proportional to 7,029.32, 9,701.10 and 5,348.16

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Solution

The fourth proportional to 7,029.32, 9,701.10 and 5,348.16 is: 7,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.32 : 9,701.10 = 5,348.16 : x
  2. Step 2: Convert to fraction form
    7,029.32/9,701.10 = 5,348.16/x
  3. Step 3: Cross multiply
    7,029.32x = 9,701.10 × 5,348.16
  4. Step 4: Simplify right side
    7,029.32x = 51,883,034.98
  5. Step 5: Solve for x
    x = 51,883,034.98/7,029.32
  6. Step 6: Final answer
    x = 7,380.95

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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.