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Finding the Fourth Proportional to 8,356.96, 11,503.38 and 7,569.64

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Solution

The fourth proportional to 8,356.96, 11,503.38 and 7,569.64 is: 10,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.96 : 11,503.38 = 7,569.64 : x
  2. Step 2: Convert to fraction form
    8,356.96/11,503.38 = 7,569.64/x
  3. Step 3: Cross multiply
    8,356.96x = 11,503.38 × 7,569.64
  4. Step 4: Simplify right side
    8,356.96x = 87,076,445.38
  5. Step 5: Solve for x
    x = 87,076,445.38/8,356.96
  6. Step 6: Final answer
    x = 10,419.63

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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.