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Finding the Fourth Proportional to 5,985.81, 8,243.69 and 5,856.66

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Solution

The fourth proportional to 5,985.81, 8,243.69 and 5,856.66 is: 8,065.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.81 : 8,243.69 = 5,856.66 : x
  2. Step 2: Convert to fraction form
    5,985.81/8,243.69 = 5,856.66/x
  3. Step 3: Cross multiply
    5,985.81x = 8,243.69 × 5,856.66
  4. Step 4: Simplify right side
    5,985.81x = 48,280,460.19
  5. Step 5: Solve for x
    x = 48,280,460.19/5,985.81
  6. Step 6: Final answer
    x = 8,065.82

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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.