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Finding the Fourth Proportional to 10,653.36, 14,701.74 and 5,873.48

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Solution

The fourth proportional to 10,653.36, 14,701.74 and 5,873.48 is: 8,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.36 : 14,701.74 = 5,873.48 : x
  2. Step 2: Convert to fraction form
    10,653.36/14,701.74 = 5,873.48/x
  3. Step 3: Cross multiply
    10,653.36x = 14,701.74 × 5,873.48
  4. Step 4: Simplify right side
    10,653.36x = 86,350,375.86
  5. Step 5: Solve for x
    x = 86,350,375.86/10,653.36
  6. Step 6: Final answer
    x = 8,105.46

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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.