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Finding the Fourth Proportional to 12,055.65, 16,635.29 and 6,749.61

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Solution

The fourth proportional to 12,055.65, 16,635.29 and 6,749.61 is: 9,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,055.65 : 16,635.29 = 6,749.61 : x
  2. Step 2: Convert to fraction form
    12,055.65/16,635.29 = 6,749.61/x
  3. Step 3: Cross multiply
    12,055.65x = 16,635.29 × 6,749.61
  4. Step 4: Simplify right side
    12,055.65x = 112,281,719.74
  5. Step 5: Solve for x
    x = 112,281,719.74/12,055.65
  6. Step 6: Final answer
    x = 9,313.62

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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.