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Finding the Fourth Proportional to 28,242.75, 42,370.64 and 9,774.75

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Solution

The fourth proportional to 28,242.75, 42,370.64 and 9,774.75 is: 14,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,242.75 : 42,370.64 = 9,774.75 : x
  2. Step 2: Convert to fraction form
    28,242.75/42,370.64 = 9,774.75/x
  3. Step 3: Cross multiply
    28,242.75x = 42,370.64 × 9,774.75
  4. Step 4: Simplify right side
    28,242.75x = 414,162,364.47
  5. Step 5: Solve for x
    x = 414,162,364.47/28,242.75
  6. Step 6: Final answer
    x = 14,664.38

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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.