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Finding the Fourth Proportional to 17,667.68, 26,501.52 and 7,817

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Solution

The fourth proportional to 17,667.68, 26,501.52 and 7,817 is: 11,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.68 : 26,501.52 = 7,817 : x
  2. Step 2: Convert to fraction form
    17,667.68/26,501.52 = 7,817/x
  3. Step 3: Cross multiply
    17,667.68x = 26,501.52 × 7,817
  4. Step 4: Simplify right side
    17,667.68x = 207,162,381.84
  5. Step 5: Solve for x
    x = 207,162,381.84/17,667.68
  6. Step 6: Final answer
    x = 11,725.50

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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.