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Finding the Fourth Proportional to 6,661.76, 9,992.68 and 1,731.46

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Solution

The fourth proportional to 6,661.76, 9,992.68 and 1,731.46 is: 2,597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.76 : 9,992.68 = 1,731.46 : x
  2. Step 2: Convert to fraction form
    6,661.76/9,992.68 = 1,731.46/x
  3. Step 3: Cross multiply
    6,661.76x = 9,992.68 × 1,731.46
  4. Step 4: Simplify right side
    6,661.76x = 17,301,925.71
  5. Step 5: Solve for x
    x = 17,301,925.71/6,661.76
  6. Step 6: Final answer
    x = 2,597.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.