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Finding the Fourth Proportional to 4,714.68, 6,487.02 and 4,599.48

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Solution

The fourth proportional to 4,714.68, 6,487.02 and 4,599.48 is: 6,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.68 : 6,487.02 = 4,599.48 : x
  2. Step 2: Convert to fraction form
    4,714.68/6,487.02 = 4,599.48/x
  3. Step 3: Cross multiply
    4,714.68x = 6,487.02 × 4,599.48
  4. Step 4: Simplify right side
    4,714.68x = 29,836,918.75
  5. Step 5: Solve for x
    x = 29,836,918.75/4,714.68
  6. Step 6: Final answer
    x = 6,328.51

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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.