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Finding the Fourth Proportional to 10,482.12, 14,471.79 and 7,213.50

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Solution

The fourth proportional to 10,482.12, 14,471.79 and 7,213.50 is: 9,959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.12 : 14,471.79 = 7,213.50 : x
  2. Step 2: Convert to fraction form
    10,482.12/14,471.79 = 7,213.50/x
  3. Step 3: Cross multiply
    10,482.12x = 14,471.79 × 7,213.50
  4. Step 4: Simplify right side
    10,482.12x = 104,392,257.17
  5. Step 5: Solve for x
    x = 104,392,257.17/10,482.12
  6. Step 6: Final answer
    x = 9,959.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.