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Finding the Fourth Proportional to 5,980.13, 8,971.63 and 1,876.13

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Solution

The fourth proportional to 5,980.13, 8,971.63 and 1,876.13 is: 2,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.13 : 8,971.63 = 1,876.13 : x
  2. Step 2: Convert to fraction form
    5,980.13/8,971.63 = 1,876.13/x
  3. Step 3: Cross multiply
    5,980.13x = 8,971.63 × 1,876.13
  4. Step 4: Simplify right side
    5,980.13x = 16,831,894.64
  5. Step 5: Solve for x
    x = 16,831,894.64/5,980.13
  6. Step 6: Final answer
    x = 2,814.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.