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Finding the Fourth Proportional to 9,491.12, 14,225.12 and 6,718.58

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Solution

The fourth proportional to 9,491.12, 14,225.12 and 6,718.58 is: 10,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.12 : 14,225.12 = 6,718.58 : x
  2. Step 2: Convert to fraction form
    9,491.12/14,225.12 = 6,718.58/x
  3. Step 3: Cross multiply
    9,491.12x = 14,225.12 × 6,718.58
  4. Step 4: Simplify right side
    9,491.12x = 95,572,606.73
  5. Step 5: Solve for x
    x = 95,572,606.73/9,491.12
  6. Step 6: Final answer
    x = 10,069.69

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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.