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Finding the Fourth Proportional to 4,827.66, 7,259.31 and 4,652.70

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Solution

The fourth proportional to 4,827.66, 7,259.31 and 4,652.70 is: 6,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.66 : 7,259.31 = 4,652.70 : x
  2. Step 2: Convert to fraction form
    4,827.66/7,259.31 = 4,652.70/x
  3. Step 3: Cross multiply
    4,827.66x = 7,259.31 × 4,652.70
  4. Step 4: Simplify right side
    4,827.66x = 33,775,391.64
  5. Step 5: Solve for x
    x = 33,775,391.64/4,827.66
  6. Step 6: Final answer
    x = 6,996.22

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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.