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Finding the Fourth Proportional to 9,706.91, 13,377.77 and 7,049.71

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Solution

The fourth proportional to 9,706.91, 13,377.77 and 7,049.71 is: 9,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.91 : 13,377.77 = 7,049.71 : x
  2. Step 2: Convert to fraction form
    9,706.91/13,377.77 = 7,049.71/x
  3. Step 3: Cross multiply
    9,706.91x = 13,377.77 × 7,049.71
  4. Step 4: Simplify right side
    9,706.91x = 94,309,332.06
  5. Step 5: Solve for x
    x = 94,309,332.06/9,706.91
  6. Step 6: Final answer
    x = 9,715.69

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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.