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Finding the Fourth Proportional to 5,063, 6,987.21 and 2,967.80

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Solution

The fourth proportional to 5,063, 6,987.21 and 2,967.80 is: 4,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063 : 6,987.21 = 2,967.80 : x
  2. Step 2: Convert to fraction form
    5,063/6,987.21 = 2,967.80/x
  3. Step 3: Cross multiply
    5,063x = 6,987.21 × 2,967.80
  4. Step 4: Simplify right side
    5,063x = 20,736,641.84
  5. Step 5: Solve for x
    x = 20,736,641.84/5,063
  6. Step 6: Final answer
    x = 4,095.72

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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.