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Finding the Fourth Proportional to 6,934.62, 9,567.02 and 4,277.40

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Solution

The fourth proportional to 6,934.62, 9,567.02 and 4,277.40 is: 5,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.62 : 9,567.02 = 4,277.40 : x
  2. Step 2: Convert to fraction form
    6,934.62/9,567.02 = 4,277.40/x
  3. Step 3: Cross multiply
    6,934.62x = 9,567.02 × 4,277.40
  4. Step 4: Simplify right side
    6,934.62x = 40,921,971.35
  5. Step 5: Solve for x
    x = 40,921,971.35/6,934.62
  6. Step 6: Final answer
    x = 5,901.11

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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.