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Finding the Fourth Proportional to 9,312.12, 13,966.02 and 3,471.48

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Solution

The fourth proportional to 9,312.12, 13,966.02 and 3,471.48 is: 5,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.12 : 13,966.02 = 3,471.48 : x
  2. Step 2: Convert to fraction form
    9,312.12/13,966.02 = 3,471.48/x
  3. Step 3: Cross multiply
    9,312.12x = 13,966.02 × 3,471.48
  4. Step 4: Simplify right side
    9,312.12x = 48,482,759.11
  5. Step 5: Solve for x
    x = 48,482,759.11/9,312.12
  6. Step 6: Final answer
    x = 5,206.41

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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.