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Finding the Fourth Proportional to 4,744.34, 6,547.02 and 2,648.42

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Solution

The fourth proportional to 4,744.34, 6,547.02 and 2,648.42 is: 3,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.34 : 6,547.02 = 2,648.42 : x
  2. Step 2: Convert to fraction form
    4,744.34/6,547.02 = 2,648.42/x
  3. Step 3: Cross multiply
    4,744.34x = 6,547.02 × 2,648.42
  4. Step 4: Simplify right side
    4,744.34x = 17,339,258.71
  5. Step 5: Solve for x
    x = 17,339,258.71/4,744.34
  6. Step 6: Final answer
    x = 3,654.73

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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.