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Finding the Fourth Proportional to 7,762.32, 10,711.72 and 4,225.44

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Solution

The fourth proportional to 7,762.32, 10,711.72 and 4,225.44 is: 5,830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.32 : 10,711.72 = 4,225.44 : x
  2. Step 2: Convert to fraction form
    7,762.32/10,711.72 = 4,225.44/x
  3. Step 3: Cross multiply
    7,762.32x = 10,711.72 × 4,225.44
  4. Step 4: Simplify right side
    7,762.32x = 45,261,730.16
  5. Step 5: Solve for x
    x = 45,261,730.16/7,762.32
  6. Step 6: Final answer
    x = 5,830.95

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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.