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Finding the Fourth Proportional to 4,714.64, 6,506.32 and 2,724.72

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Solution

The fourth proportional to 4,714.64, 6,506.32 and 2,724.72 is: 3,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.64 : 6,506.32 = 2,724.72 : x
  2. Step 2: Convert to fraction form
    4,714.64/6,506.32 = 2,724.72/x
  3. Step 3: Cross multiply
    4,714.64x = 6,506.32 × 2,724.72
  4. Step 4: Simplify right side
    4,714.64x = 17,727,900.23
  5. Step 5: Solve for x
    x = 17,727,900.23/4,714.64
  6. Step 6: Final answer
    x = 3,760.18

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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.