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Finding the Fourth Proportional to 6,700.81, 10,045.07 and 2,315.20

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Solution

The fourth proportional to 6,700.81, 10,045.07 and 2,315.20 is: 3,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.81 : 10,045.07 = 2,315.20 : x
  2. Step 2: Convert to fraction form
    6,700.81/10,045.07 = 2,315.20/x
  3. Step 3: Cross multiply
    6,700.81x = 10,045.07 × 2,315.20
  4. Step 4: Simplify right side
    6,700.81x = 23,256,346.06
  5. Step 5: Solve for x
    x = 23,256,346.06/6,700.81
  6. Step 6: Final answer
    x = 3,470.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.