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Finding the Fourth Proportional to 9,974.40, 14,961.60 and 8,030.40

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Solution

The fourth proportional to 9,974.40, 14,961.60 and 8,030.40 is: 12,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.40 : 14,961.60 = 8,030.40 : x
  2. Step 2: Convert to fraction form
    9,974.40/14,961.60 = 8,030.40/x
  3. Step 3: Cross multiply
    9,974.40x = 14,961.60 × 8,030.40
  4. Step 4: Simplify right side
    9,974.40x = 120,147,632.64
  5. Step 5: Solve for x
    x = 120,147,632.64/9,974.40
  6. Step 6: Final answer
    x = 12,045.60

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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.