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Finding the Fourth Proportional to 9,977.40, 14,966.10 and 8,033.40

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Solution

The fourth proportional to 9,977.40, 14,966.10 and 8,033.40 is: 12,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.40 : 14,966.10 = 8,033.40 : x
  2. Step 2: Convert to fraction form
    9,977.40/14,966.10 = 8,033.40/x
  3. Step 3: Cross multiply
    9,977.40x = 14,966.10 × 8,033.40
  4. Step 4: Simplify right side
    9,977.40x = 120,228,667.74
  5. Step 5: Solve for x
    x = 120,228,667.74/9,977.40
  6. Step 6: Final answer
    x = 12,050.10

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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.