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Finding the Fourth Proportional to 6,700.10, 9,246.05 and 3,715.94

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Solution

The fourth proportional to 6,700.10, 9,246.05 and 3,715.94 is: 5,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.10 : 9,246.05 = 3,715.94 : x
  2. Step 2: Convert to fraction form
    6,700.10/9,246.05 = 3,715.94/x
  3. Step 3: Cross multiply
    6,700.10x = 9,246.05 × 3,715.94
  4. Step 4: Simplify right side
    6,700.10x = 34,357,767.04
  5. Step 5: Solve for x
    x = 34,357,767.04/6,700.10
  6. Step 6: Final answer
    x = 5,127.95

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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.