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Finding the Fourth Proportional to 9,912.95, 14,861.04 and 4,645.20

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Solution

The fourth proportional to 9,912.95, 14,861.04 and 4,645.20 is: 6,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.95 : 14,861.04 = 4,645.20 : x
  2. Step 2: Convert to fraction form
    9,912.95/14,861.04 = 4,645.20/x
  3. Step 3: Cross multiply
    9,912.95x = 14,861.04 × 4,645.20
  4. Step 4: Simplify right side
    9,912.95x = 69,032,503.01
  5. Step 5: Solve for x
    x = 69,032,503.01/9,912.95
  6. Step 6: Final answer
    x = 6,963.87

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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.