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Finding the Fourth Proportional to 9,228.53, 12,731.54 and 5,873.19

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Solution

The fourth proportional to 9,228.53, 12,731.54 and 5,873.19 is: 8,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.53 : 12,731.54 = 5,873.19 : x
  2. Step 2: Convert to fraction form
    9,228.53/12,731.54 = 5,873.19/x
  3. Step 3: Cross multiply
    9,228.53x = 12,731.54 × 5,873.19
  4. Step 4: Simplify right side
    9,228.53x = 74,774,724.05
  5. Step 5: Solve for x
    x = 74,774,724.05/9,228.53
  6. Step 6: Final answer
    x = 8,102.57

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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.