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Finding the Fourth Proportional to 25,114.50, 37,672.47 and 6,646.50

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Solution

The fourth proportional to 25,114.50, 37,672.47 and 6,646.50 is: 9,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114.50 : 37,672.47 = 6,646.50 : x
  2. Step 2: Convert to fraction form
    25,114.50/37,672.47 = 6,646.50/x
  3. Step 3: Cross multiply
    25,114.50x = 37,672.47 × 6,646.50
  4. Step 4: Simplify right side
    25,114.50x = 250,390,071.86
  5. Step 5: Solve for x
    x = 250,390,071.86/25,114.50
  6. Step 6: Final answer
    x = 9,969.94

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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.