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Finding the Fourth Proportional to 8,496, 12,741.57 and 3,566.75

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Solution

The fourth proportional to 8,496, 12,741.57 and 3,566.75 is: 5,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496 : 12,741.57 = 3,566.75 : x
  2. Step 2: Convert to fraction form
    8,496/12,741.57 = 3,566.75/x
  3. Step 3: Cross multiply
    8,496x = 12,741.57 × 3,566.75
  4. Step 4: Simplify right side
    8,496x = 45,445,931.09
  5. Step 5: Solve for x
    x = 45,445,931.09/8,496
  6. Step 6: Final answer
    x = 5,349.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.