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Finding the Fourth Proportional to 9,861.54, 14,763.15 and 5,954.10

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Solution

The fourth proportional to 9,861.54, 14,763.15 and 5,954.10 is: 8,913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.54 : 14,763.15 = 5,954.10 : x
  2. Step 2: Convert to fraction form
    9,861.54/14,763.15 = 5,954.10/x
  3. Step 3: Cross multiply
    9,861.54x = 14,763.15 × 5,954.10
  4. Step 4: Simplify right side
    9,861.54x = 87,901,271.42
  5. Step 5: Solve for x
    x = 87,901,271.42/9,861.54
  6. Step 6: Final answer
    x = 8,913.54

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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.