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Finding the Fourth Proportional to 9,309.96, 12,848.10 and 6,663.72

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Solution

The fourth proportional to 9,309.96, 12,848.10 and 6,663.72 is: 9,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.96 : 12,848.10 = 6,663.72 : x
  2. Step 2: Convert to fraction form
    9,309.96/12,848.10 = 6,663.72/x
  3. Step 3: Cross multiply
    9,309.96x = 12,848.10 × 6,663.72
  4. Step 4: Simplify right side
    9,309.96x = 85,616,140.93
  5. Step 5: Solve for x
    x = 85,616,140.93/9,309.96
  6. Step 6: Final answer
    x = 9,196.19

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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.