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Finding the Fourth Proportional to 6,892.12, 9,491.70 and 6,870.52

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Solution

The fourth proportional to 6,892.12, 9,491.70 and 6,870.52 is: 9,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.12 : 9,491.70 = 6,870.52 : x
  2. Step 2: Convert to fraction form
    6,892.12/9,491.70 = 6,870.52/x
  3. Step 3: Cross multiply
    6,892.12x = 9,491.70 × 6,870.52
  4. Step 4: Simplify right side
    6,892.12x = 65,212,914.68
  5. Step 5: Solve for x
    x = 65,212,914.68/6,892.12
  6. Step 6: Final answer
    x = 9,461.95

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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.