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Finding the Fourth Proportional to 10,603.92, 14,634.18 and 7,946.64

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Solution

The fourth proportional to 10,603.92, 14,634.18 and 7,946.64 is: 10,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.92 : 14,634.18 = 7,946.64 : x
  2. Step 2: Convert to fraction form
    10,603.92/14,634.18 = 7,946.64/x
  3. Step 3: Cross multiply
    10,603.92x = 14,634.18 × 7,946.64
  4. Step 4: Simplify right side
    10,603.92x = 116,292,560.16
  5. Step 5: Solve for x
    x = 116,292,560.16/10,603.92
  6. Step 6: Final answer
    x = 10,966.94

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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.