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Finding the Fourth Proportional to 9,859.44, 13,605.48 and 5,667.72

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Solution

The fourth proportional to 9,859.44, 13,605.48 and 5,667.72 is: 7,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.44 : 13,605.48 = 5,667.72 : x
  2. Step 2: Convert to fraction form
    9,859.44/13,605.48 = 5,667.72/x
  3. Step 3: Cross multiply
    9,859.44x = 13,605.48 × 5,667.72
  4. Step 4: Simplify right side
    9,859.44x = 77,112,051.11
  5. Step 5: Solve for x
    x = 77,112,051.11/9,859.44
  6. Step 6: Final answer
    x = 7,821.14

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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.