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Finding the Fourth Proportional to 7,658.09, 11,480.20 and 5,319.20

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Solution

The fourth proportional to 7,658.09, 11,480.20 and 5,319.20 is: 7,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.09 : 11,480.20 = 5,319.20 : x
  2. Step 2: Convert to fraction form
    7,658.09/11,480.20 = 5,319.20/x
  3. Step 3: Cross multiply
    7,658.09x = 11,480.20 × 5,319.20
  4. Step 4: Simplify right side
    7,658.09x = 61,065,479.84
  5. Step 5: Solve for x
    x = 61,065,479.84/7,658.09
  6. Step 6: Final answer
    x = 7,973.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.