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Finding the Fourth Proportional to 8,506.93, 11,736.75 and 5,148.47

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Solution

The fourth proportional to 8,506.93, 11,736.75 and 5,148.47 is: 7,103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.93 : 11,736.75 = 5,148.47 : x
  2. Step 2: Convert to fraction form
    8,506.93/11,736.75 = 5,148.47/x
  3. Step 3: Cross multiply
    8,506.93x = 11,736.75 × 5,148.47
  4. Step 4: Simplify right side
    8,506.93x = 60,426,305.27
  5. Step 5: Solve for x
    x = 60,426,305.27/8,506.93
  6. Step 6: Final answer
    x = 7,103.19

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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.