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Finding the Fourth Proportional to 7,753.64, 10,700.10 and 4,216.88

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Solution

The fourth proportional to 7,753.64, 10,700.10 and 4,216.88 is: 5,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.64 : 10,700.10 = 4,216.88 : x
  2. Step 2: Convert to fraction form
    7,753.64/10,700.10 = 4,216.88/x
  3. Step 3: Cross multiply
    7,753.64x = 10,700.10 × 4,216.88
  4. Step 4: Simplify right side
    7,753.64x = 45,121,037.69
  5. Step 5: Solve for x
    x = 45,121,037.69/7,753.64
  6. Step 6: Final answer
    x = 5,819.34

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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.