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Finding the Fourth Proportional to 13,439.98, 18,547 and 7,471.50

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Solution

The fourth proportional to 13,439.98, 18,547 and 7,471.50 is: 10,310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,439.98 : 18,547 = 7,471.50 : x
  2. Step 2: Convert to fraction form
    13,439.98/18,547 = 7,471.50/x
  3. Step 3: Cross multiply
    13,439.98x = 18,547 × 7,471.50
  4. Step 4: Simplify right side
    13,439.98x = 138,573,910.50
  5. Step 5: Solve for x
    x = 138,573,910.50/13,439.98
  6. Step 6: Final answer
    x = 10,310.57

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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.