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Finding the Fourth Proportional to 11,484.56, 15,848.56 and 6,448.66

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Solution

The fourth proportional to 11,484.56, 15,848.56 and 6,448.66 is: 8,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.56 : 15,848.56 = 6,448.66 : x
  2. Step 2: Convert to fraction form
    11,484.56/15,848.56 = 6,448.66/x
  3. Step 3: Cross multiply
    11,484.56x = 15,848.56 × 6,448.66
  4. Step 4: Simplify right side
    11,484.56x = 102,202,032.52
  5. Step 5: Solve for x
    x = 102,202,032.52/11,484.56
  6. Step 6: Final answer
    x = 8,899.08

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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.