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Finding the Fourth Proportional to 10,775.66, 14,871.58 and 6,300.92

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Solution

The fourth proportional to 10,775.66, 14,871.58 and 6,300.92 is: 8,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.66 : 14,871.58 = 6,300.92 : x
  2. Step 2: Convert to fraction form
    10,775.66/14,871.58 = 6,300.92/x
  3. Step 3: Cross multiply
    10,775.66x = 14,871.58 × 6,300.92
  4. Step 4: Simplify right side
    10,775.66x = 93,704,635.85
  5. Step 5: Solve for x
    x = 93,704,635.85/10,775.66
  6. Step 6: Final answer
    x = 8,695.95

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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.