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Finding the Fourth Proportional to 6,114.76, 9,111.98 and 5,916.31

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Solution

The fourth proportional to 6,114.76, 9,111.98 and 5,916.31 is: 8,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.76 : 9,111.98 = 5,916.31 : x
  2. Step 2: Convert to fraction form
    6,114.76/9,111.98 = 5,916.31/x
  3. Step 3: Cross multiply
    6,114.76x = 9,111.98 × 5,916.31
  4. Step 4: Simplify right side
    6,114.76x = 53,909,257.13
  5. Step 5: Solve for x
    x = 53,909,257.13/6,114.76
  6. Step 6: Final answer
    x = 8,816.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.