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Finding the Fourth Proportional to 9,569.86, 13,204.38 and 5,792.28

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Solution

The fourth proportional to 9,569.86, 13,204.38 and 5,792.28 is: 7,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.86 : 13,204.38 = 5,792.28 : x
  2. Step 2: Convert to fraction form
    9,569.86/13,204.38 = 5,792.28/x
  3. Step 3: Cross multiply
    9,569.86x = 13,204.38 × 5,792.28
  4. Step 4: Simplify right side
    9,569.86x = 76,483,466.19
  5. Step 5: Solve for x
    x = 76,483,466.19/9,569.86
  6. Step 6: Final answer
    x = 7,992.12

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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.