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Finding the Fourth Proportional to 7,013.07, 9,678.03 and 3,869.46

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Solution

The fourth proportional to 7,013.07, 9,678.03 and 3,869.46 is: 5,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.07 : 9,678.03 = 3,869.46 : x
  2. Step 2: Convert to fraction form
    7,013.07/9,678.03 = 3,869.46/x
  3. Step 3: Cross multiply
    7,013.07x = 9,678.03 × 3,869.46
  4. Step 4: Simplify right side
    7,013.07x = 37,448,749.96
  5. Step 5: Solve for x
    x = 37,448,749.96/7,013.07
  6. Step 6: Final answer
    x = 5,339.85

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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.