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Finding the Fourth Proportional to 5,849.48, 8,774.03 and 1,466.98

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Solution

The fourth proportional to 5,849.48, 8,774.03 and 1,466.98 is: 2,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.48 : 8,774.03 = 1,466.98 : x
  2. Step 2: Convert to fraction form
    5,849.48/8,774.03 = 1,466.98/x
  3. Step 3: Cross multiply
    5,849.48x = 8,774.03 × 1,466.98
  4. Step 4: Simplify right side
    5,849.48x = 12,871,326.53
  5. Step 5: Solve for x
    x = 12,871,326.53/5,849.48
  6. Step 6: Final answer
    x = 2,200.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.