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Finding the Fourth Proportional to 7,195.92, 9,931.84 and 4,541.54

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Solution

The fourth proportional to 7,195.92, 9,931.84 and 4,541.54 is: 6,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.92 : 9,931.84 = 4,541.54 : x
  2. Step 2: Convert to fraction form
    7,195.92/9,931.84 = 4,541.54/x
  3. Step 3: Cross multiply
    7,195.92x = 9,931.84 × 4,541.54
  4. Step 4: Simplify right side
    7,195.92x = 45,105,848.63
  5. Step 5: Solve for x
    x = 45,105,848.63/7,195.92
  6. Step 6: Final answer
    x = 6,268.25

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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.