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Finding the Fourth Proportional to 7,214.67, 9,934.04 and 6,150.05

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Solution

The fourth proportional to 7,214.67, 9,934.04 and 6,150.05 is: 8,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.67 : 9,934.04 = 6,150.05 : x
  2. Step 2: Convert to fraction form
    7,214.67/9,934.04 = 6,150.05/x
  3. Step 3: Cross multiply
    7,214.67x = 9,934.04 × 6,150.05
  4. Step 4: Simplify right side
    7,214.67x = 61,094,762.28
  5. Step 5: Solve for x
    x = 61,094,762.28/7,214.67
  6. Step 6: Final answer
    x = 8,468.13

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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.