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Finding the Fourth Proportional to 9,966.40, 14,949.60 and 9,480.40

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Solution

The fourth proportional to 9,966.40, 14,949.60 and 9,480.40 is: 14,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.40 : 14,949.60 = 9,480.40 : x
  2. Step 2: Convert to fraction form
    9,966.40/14,949.60 = 9,480.40/x
  3. Step 3: Cross multiply
    9,966.40x = 14,949.60 × 9,480.40
  4. Step 4: Simplify right side
    9,966.40x = 141,728,187.84
  5. Step 5: Solve for x
    x = 141,728,187.84/9,966.40
  6. Step 6: Final answer
    x = 14,220.60

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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.