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Finding the Fourth Proportional to 7,034.61, 9,706.50 and 4,009.71

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Solution

The fourth proportional to 7,034.61, 9,706.50 and 4,009.71 is: 5,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.61 : 9,706.50 = 4,009.71 : x
  2. Step 2: Convert to fraction form
    7,034.61/9,706.50 = 4,009.71/x
  3. Step 3: Cross multiply
    7,034.61x = 9,706.50 × 4,009.71
  4. Step 4: Simplify right side
    7,034.61x = 38,920,250.12
  5. Step 5: Solve for x
    x = 38,920,250.12/7,034.61
  6. Step 6: Final answer
    x = 5,532.68

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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.