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Finding the Fourth Proportional to 6,776.42, 9,352.28 and 4,124.21

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Solution

The fourth proportional to 6,776.42, 9,352.28 and 4,124.21 is: 5,691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.42 : 9,352.28 = 4,124.21 : x
  2. Step 2: Convert to fraction form
    6,776.42/9,352.28 = 4,124.21/x
  3. Step 3: Cross multiply
    6,776.42x = 9,352.28 × 4,124.21
  4. Step 4: Simplify right side
    6,776.42x = 38,570,746.08
  5. Step 5: Solve for x
    x = 38,570,746.08/6,776.42
  6. Step 6: Final answer
    x = 5,691.91

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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.