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Finding the Fourth Proportional to 9,830.22, 13,564.44 and 5,581.74

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Solution

The fourth proportional to 9,830.22, 13,564.44 and 5,581.74 is: 7,702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.22 : 13,564.44 = 5,581.74 : x
  2. Step 2: Convert to fraction form
    9,830.22/13,564.44 = 5,581.74/x
  3. Step 3: Cross multiply
    9,830.22x = 13,564.44 × 5,581.74
  4. Step 4: Simplify right side
    9,830.22x = 75,713,177.33
  5. Step 5: Solve for x
    x = 75,713,177.33/9,830.22
  6. Step 6: Final answer
    x = 7,702.08

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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.