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Finding the Fourth Proportional to 6,998.40, 9,657.63 and 4,013.82

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Solution

The fourth proportional to 6,998.40, 9,657.63 and 4,013.82 is: 5,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.40 : 9,657.63 = 4,013.82 : x
  2. Step 2: Convert to fraction form
    6,998.40/9,657.63 = 4,013.82/x
  3. Step 3: Cross multiply
    6,998.40x = 9,657.63 × 4,013.82
  4. Step 4: Simplify right side
    6,998.40x = 38,763,988.45
  5. Step 5: Solve for x
    x = 38,763,988.45/6,998.40
  6. Step 6: Final answer
    x = 5,538.98

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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.