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Finding the Fourth Proportional to 4,877.08, 6,726.78 and 4,206.12

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Solution

The fourth proportional to 4,877.08, 6,726.78 and 4,206.12 is: 5,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.08 : 6,726.78 = 4,206.12 : x
  2. Step 2: Convert to fraction form
    4,877.08/6,726.78 = 4,206.12/x
  3. Step 3: Cross multiply
    4,877.08x = 6,726.78 × 4,206.12
  4. Step 4: Simplify right side
    4,877.08x = 28,293,643.89
  5. Step 5: Solve for x
    x = 28,293,643.89/4,877.08
  6. Step 6: Final answer
    x = 5,801.35

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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.