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Finding the Fourth Proportional to 7,797.57, 10,765.08 and 5,152.65

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Solution

The fourth proportional to 7,797.57, 10,765.08 and 5,152.65 is: 7,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.57 : 10,765.08 = 5,152.65 : x
  2. Step 2: Convert to fraction form
    7,797.57/10,765.08 = 5,152.65/x
  3. Step 3: Cross multiply
    7,797.57x = 10,765.08 × 5,152.65
  4. Step 4: Simplify right side
    7,797.57x = 55,468,689.46
  5. Step 5: Solve for x
    x = 55,468,689.46/7,797.57
  6. Step 6: Final answer
    x = 7,113.59

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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.