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Finding the Fourth Proportional to 9,859, 13,605.96 and 5,667.52

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Solution

The fourth proportional to 9,859, 13,605.96 and 5,667.52 is: 7,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859 : 13,605.96 = 5,667.52 : x
  2. Step 2: Convert to fraction form
    9,859/13,605.96 = 5,667.52/x
  3. Step 3: Cross multiply
    9,859x = 13,605.96 × 5,667.52
  4. Step 4: Simplify right side
    9,859x = 77,112,050.42
  5. Step 5: Solve for x
    x = 77,112,050.42/9,859
  6. Step 6: Final answer
    x = 7,821.49

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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.