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Finding the Fourth Proportional to 28,434, 42,651 and 7,657.50

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Solution

The fourth proportional to 28,434, 42,651 and 7,657.50 is: 11,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,434 : 42,651 = 7,657.50 : x
  2. Step 2: Convert to fraction form
    28,434/42,651 = 7,657.50/x
  3. Step 3: Cross multiply
    28,434x = 42,651 × 7,657.50
  4. Step 4: Simplify right side
    28,434x = 326,600,032.50
  5. Step 5: Solve for x
    x = 326,600,032.50/28,434
  6. Step 6: Final answer
    x = 11,486.25

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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.