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Finding the Fourth Proportional to 7,184.68, 9,919.74 and 5,296.48

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Solution

The fourth proportional to 7,184.68, 9,919.74 and 5,296.48 is: 7,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.68 : 9,919.74 = 5,296.48 : x
  2. Step 2: Convert to fraction form
    7,184.68/9,919.74 = 5,296.48/x
  3. Step 3: Cross multiply
    7,184.68x = 9,919.74 × 5,296.48
  4. Step 4: Simplify right side
    7,184.68x = 52,539,704.52
  5. Step 5: Solve for x
    x = 52,539,704.52/7,184.68
  6. Step 6: Final answer
    x = 7,312.74

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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.