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Finding the Fourth Proportional to 7,234.80, 9,984.78 and 4,402.38

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Solution

The fourth proportional to 7,234.80, 9,984.78 and 4,402.38 is: 6,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.80 : 9,984.78 = 4,402.38 : x
  2. Step 2: Convert to fraction form
    7,234.80/9,984.78 = 4,402.38/x
  3. Step 3: Cross multiply
    7,234.80x = 9,984.78 × 4,402.38
  4. Step 4: Simplify right side
    7,234.80x = 43,956,795.78
  5. Step 5: Solve for x
    x = 43,956,795.78/7,234.80
  6. Step 6: Final answer
    x = 6,075.74

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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.