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Finding the Fourth Proportional to 5,214.64, 7,787.85 and 4,176.22

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Solution

The fourth proportional to 5,214.64, 7,787.85 and 4,176.22 is: 6,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.64 : 7,787.85 = 4,176.22 : x
  2. Step 2: Convert to fraction form
    5,214.64/7,787.85 = 4,176.22/x
  3. Step 3: Cross multiply
    5,214.64x = 7,787.85 × 4,176.22
  4. Step 4: Simplify right side
    5,214.64x = 32,523,774.93
  5. Step 5: Solve for x
    x = 32,523,774.93/5,214.64
  6. Step 6: Final answer
    x = 6,237.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.