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Finding the Fourth Proportional to 9,701.29, 13,373.67 and 7,712.65

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Solution

The fourth proportional to 9,701.29, 13,373.67 and 7,712.65 is: 10,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.29 : 13,373.67 = 7,712.65 : x
  2. Step 2: Convert to fraction form
    9,701.29/13,373.67 = 7,712.65/x
  3. Step 3: Cross multiply
    9,701.29x = 13,373.67 × 7,712.65
  4. Step 4: Simplify right side
    9,701.29x = 103,146,435.93
  5. Step 5: Solve for x
    x = 103,146,435.93/9,701.29
  6. Step 6: Final answer
    x = 10,632.24

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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.