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Finding the Fourth Proportional to 28,224.46, 42,356.13 and 9,756.46

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Solution

The fourth proportional to 28,224.46, 42,356.13 and 9,756.46 is: 14,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,224.46 : 42,356.13 = 9,756.46 : x
  2. Step 2: Convert to fraction form
    28,224.46/42,356.13 = 9,756.46/x
  3. Step 3: Cross multiply
    28,224.46x = 42,356.13 × 9,756.46
  4. Step 4: Simplify right side
    28,224.46x = 413,245,888.10
  5. Step 5: Solve for x
    x = 413,245,888.10/28,224.46
  6. Step 6: Final answer
    x = 14,641.41

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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.