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Finding the Fourth Proportional to 6,981.96, 10,523.16 and 6,019.68

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Solution

The fourth proportional to 6,981.96, 10,523.16 and 6,019.68 is: 9,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.96 : 10,523.16 = 6,019.68 : x
  2. Step 2: Convert to fraction form
    6,981.96/10,523.16 = 6,019.68/x
  3. Step 3: Cross multiply
    6,981.96x = 10,523.16 × 6,019.68
  4. Step 4: Simplify right side
    6,981.96x = 63,346,055.79
  5. Step 5: Solve for x
    x = 63,346,055.79/6,981.96
  6. Step 6: Final answer
    x = 9,072.82

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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.