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Finding the Fourth Proportional to 4,652.17, 7,009.28 and 4,207.94

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Solution

The fourth proportional to 4,652.17, 7,009.28 and 4,207.94 is: 6,339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.17 : 7,009.28 = 4,207.94 : x
  2. Step 2: Convert to fraction form
    4,652.17/7,009.28 = 4,207.94/x
  3. Step 3: Cross multiply
    4,652.17x = 7,009.28 × 4,207.94
  4. Step 4: Simplify right side
    4,652.17x = 29,494,657.73
  5. Step 5: Solve for x
    x = 29,494,657.73/4,652.17
  6. Step 6: Final answer
    x = 6,339.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.