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Finding the Fourth Proportional to 9,584.82, 13,225.05 and 5,605.16

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Solution

The fourth proportional to 9,584.82, 13,225.05 and 5,605.16 is: 7,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.82 : 13,225.05 = 5,605.16 : x
  2. Step 2: Convert to fraction form
    9,584.82/13,225.05 = 5,605.16/x
  3. Step 3: Cross multiply
    9,584.82x = 13,225.05 × 5,605.16
  4. Step 4: Simplify right side
    9,584.82x = 74,128,455.13
  5. Step 5: Solve for x
    x = 74,128,455.13/9,584.82
  6. Step 6: Final answer
    x = 7,733.94

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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.