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Finding the Fourth Proportional to 6,341.82, 8,754.16 and 5,677.52

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Solution

The fourth proportional to 6,341.82, 8,754.16 and 5,677.52 is: 7,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.82 : 8,754.16 = 5,677.52 : x
  2. Step 2: Convert to fraction form
    6,341.82/8,754.16 = 5,677.52/x
  3. Step 3: Cross multiply
    6,341.82x = 8,754.16 × 5,677.52
  4. Step 4: Simplify right side
    6,341.82x = 49,701,881.81
  5. Step 5: Solve for x
    x = 49,701,881.81/6,341.82
  6. Step 6: Final answer
    x = 7,837.17

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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.