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Finding the Fourth Proportional to 9,646.24, 13,308.96 and 5,920.24

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Solution

The fourth proportional to 9,646.24, 13,308.96 and 5,920.24 is: 8,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.24 : 13,308.96 = 5,920.24 : x
  2. Step 2: Convert to fraction form
    9,646.24/13,308.96 = 5,920.24/x
  3. Step 3: Cross multiply
    9,646.24x = 13,308.96 × 5,920.24
  4. Step 4: Simplify right side
    9,646.24x = 78,792,237.35
  5. Step 5: Solve for x
    x = 78,792,237.35/9,646.24
  6. Step 6: Final answer
    x = 8,168.18

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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.