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Finding the Fourth Proportional to 5,853.10, 8,717.56 and 5,824.84

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Solution

The fourth proportional to 5,853.10, 8,717.56 and 5,824.84 is: 8,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.10 : 8,717.56 = 5,824.84 : x
  2. Step 2: Convert to fraction form
    5,853.10/8,717.56 = 5,824.84/x
  3. Step 3: Cross multiply
    5,853.10x = 8,717.56 × 5,824.84
  4. Step 4: Simplify right side
    5,853.10x = 50,778,363.07
  5. Step 5: Solve for x
    x = 50,778,363.07/5,853.10
  6. Step 6: Final answer
    x = 8,675.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.