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Finding the Fourth Proportional to 9,663.16, 14,560.57 and 7,946.62

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Solution

The fourth proportional to 9,663.16, 14,560.57 and 7,946.62 is: 11,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.16 : 14,560.57 = 7,946.62 : x
  2. Step 2: Convert to fraction form
    9,663.16/14,560.57 = 7,946.62/x
  3. Step 3: Cross multiply
    9,663.16x = 14,560.57 × 7,946.62
  4. Step 4: Simplify right side
    9,663.16x = 115,707,316.77
  5. Step 5: Solve for x
    x = 115,707,316.77/9,663.16
  6. Step 6: Final answer
    x = 11,974.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.