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Finding the Fourth Proportional to 4,547.76, 6,273.84 and 2,779

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Solution

The fourth proportional to 4,547.76, 6,273.84 and 2,779 is: 3,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.76 : 6,273.84 = 2,779 : x
  2. Step 2: Convert to fraction form
    4,547.76/6,273.84 = 2,779/x
  3. Step 3: Cross multiply
    4,547.76x = 6,273.84 × 2,779
  4. Step 4: Simplify right side
    4,547.76x = 17,435,001.36
  5. Step 5: Solve for x
    x = 17,435,001.36/4,547.76
  6. Step 6: Final answer
    x = 3,833.76

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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.