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Finding the Fourth Proportional to 11,064.36, 15,264.54 and 6,865.32

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Solution

The fourth proportional to 11,064.36, 15,264.54 and 6,865.32 is: 9,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,064.36 : 15,264.54 = 6,865.32 : x
  2. Step 2: Convert to fraction form
    11,064.36/15,264.54 = 6,865.32/x
  3. Step 3: Cross multiply
    11,064.36x = 15,264.54 × 6,865.32
  4. Step 4: Simplify right side
    11,064.36x = 104,795,951.75
  5. Step 5: Solve for x
    x = 104,795,951.75/11,064.36
  6. Step 6: Final answer
    x = 9,471.49

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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.