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Finding the Fourth Proportional to 4,867.50, 6,717.64 and 2,980.33

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Solution

The fourth proportional to 4,867.50, 6,717.64 and 2,980.33 is: 4,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.50 : 6,717.64 = 2,980.33 : x
  2. Step 2: Convert to fraction form
    4,867.50/6,717.64 = 2,980.33/x
  3. Step 3: Cross multiply
    4,867.50x = 6,717.64 × 2,980.33
  4. Step 4: Simplify right side
    4,867.50x = 20,020,784.02
  5. Step 5: Solve for x
    x = 20,020,784.02/4,867.50
  6. Step 6: Final answer
    x = 4,113.16

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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.