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Finding the Fourth Proportional to 5,683.86, 7,848.69 and 5,497.95

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Solution

The fourth proportional to 5,683.86, 7,848.69 and 5,497.95 is: 7,591.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.86 : 7,848.69 = 5,497.95 : x
  2. Step 2: Convert to fraction form
    5,683.86/7,848.69 = 5,497.95/x
  3. Step 3: Cross multiply
    5,683.86x = 7,848.69 × 5,497.95
  4. Step 4: Simplify right side
    5,683.86x = 43,151,705.19
  5. Step 5: Solve for x
    x = 43,151,705.19/5,683.86
  6. Step 6: Final answer
    x = 7,591.97

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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.