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Finding the Fourth Proportional to 4,497.66, 6,750.81 and 4,214.70

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Solution

The fourth proportional to 4,497.66, 6,750.81 and 4,214.70 is: 6,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.66 : 6,750.81 = 4,214.70 : x
  2. Step 2: Convert to fraction form
    4,497.66/6,750.81 = 4,214.70/x
  3. Step 3: Cross multiply
    4,497.66x = 6,750.81 × 4,214.70
  4. Step 4: Simplify right side
    4,497.66x = 28,452,638.91
  5. Step 5: Solve for x
    x = 28,452,638.91/4,497.66
  6. Step 6: Final answer
    x = 6,326.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.