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Finding the Fourth Proportional to 11,472.12, 15,831 and 6,995.16

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Solution

The fourth proportional to 11,472.12, 15,831 and 6,995.16 is: 9,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.12 : 15,831 = 6,995.16 : x
  2. Step 2: Convert to fraction form
    11,472.12/15,831 = 6,995.16/x
  3. Step 3: Cross multiply
    11,472.12x = 15,831 × 6,995.16
  4. Step 4: Simplify right side
    11,472.12x = 110,740,377.96
  5. Step 5: Solve for x
    x = 110,740,377.96/11,472.12
  6. Step 6: Final answer
    x = 9,653.00

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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.