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Finding the Fourth Proportional to 7,772.61, 10,724.49 and 4,415.16

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Solution

The fourth proportional to 7,772.61, 10,724.49 and 4,415.16 is: 6,091.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.61 : 10,724.49 = 4,415.16 : x
  2. Step 2: Convert to fraction form
    7,772.61/10,724.49 = 4,415.16/x
  3. Step 3: Cross multiply
    7,772.61x = 10,724.49 × 4,415.16
  4. Step 4: Simplify right side
    7,772.61x = 47,350,339.27
  5. Step 5: Solve for x
    x = 47,350,339.27/7,772.61
  6. Step 6: Final answer
    x = 6,091.95

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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.