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Finding the Fourth Proportional to 25,253.94, 37,881 and 7,723.71

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Solution

The fourth proportional to 25,253.94, 37,881 and 7,723.71 is: 11,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,253.94 : 37,881 = 7,723.71 : x
  2. Step 2: Convert to fraction form
    25,253.94/37,881 = 7,723.71/x
  3. Step 3: Cross multiply
    25,253.94x = 37,881 × 7,723.71
  4. Step 4: Simplify right side
    25,253.94x = 292,581,858.51
  5. Step 5: Solve for x
    x = 292,581,858.51/25,253.94
  6. Step 6: Final answer
    x = 11,585.59

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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.