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Finding the Fourth Proportional to 7,447.58, 10,277.01 and 4,260.23

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Solution

The fourth proportional to 7,447.58, 10,277.01 and 4,260.23 is: 5,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.58 : 10,277.01 = 4,260.23 : x
  2. Step 2: Convert to fraction form
    7,447.58/10,277.01 = 4,260.23/x
  3. Step 3: Cross multiply
    7,447.58x = 10,277.01 × 4,260.23
  4. Step 4: Simplify right side
    7,447.58x = 43,782,374.93
  5. Step 5: Solve for x
    x = 43,782,374.93/7,447.58
  6. Step 6: Final answer
    x = 5,878.74

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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.