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Finding the Fourth Proportional to 10,661.76, 14,712.48 and 5,946.30

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Solution

The fourth proportional to 10,661.76, 14,712.48 and 5,946.30 is: 8,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.76 : 14,712.48 = 5,946.30 : x
  2. Step 2: Convert to fraction form
    10,661.76/14,712.48 = 5,946.30/x
  3. Step 3: Cross multiply
    10,661.76x = 14,712.48 × 5,946.30
  4. Step 4: Simplify right side
    10,661.76x = 87,484,819.82
  5. Step 5: Solve for x
    x = 87,484,819.82/10,661.76
  6. Step 6: Final answer
    x = 8,205.48

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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.