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Finding the Fourth Proportional to 7,013.68, 9,678.86 and 4,029.30

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Solution

The fourth proportional to 7,013.68, 9,678.86 and 4,029.30 is: 5,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.68 : 9,678.86 = 4,029.30 : x
  2. Step 2: Convert to fraction form
    7,013.68/9,678.86 = 4,029.30/x
  3. Step 3: Cross multiply
    7,013.68x = 9,678.86 × 4,029.30
  4. Step 4: Simplify right side
    7,013.68x = 38,999,030.60
  5. Step 5: Solve for x
    x = 38,999,030.60/7,013.68
  6. Step 6: Final answer
    x = 5,560.42

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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.