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Finding the Fourth Proportional to 28,224.84, 42,356.70 and 9,756.84

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Solution

The fourth proportional to 28,224.84, 42,356.70 and 9,756.84 is: 14,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,224.84 : 42,356.70 = 9,756.84 : x
  2. Step 2: Convert to fraction form
    28,224.84/42,356.70 = 9,756.84/x
  3. Step 3: Cross multiply
    28,224.84x = 42,356.70 × 9,756.84
  4. Step 4: Simplify right side
    28,224.84x = 413,267,544.83
  5. Step 5: Solve for x
    x = 413,267,544.83/28,224.84
  6. Step 6: Final answer
    x = 14,641.98

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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.