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Finding the Fourth Proportional to 19,213.68, 28,824.98 and 7,527

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Solution

The fourth proportional to 19,213.68, 28,824.98 and 7,527 is: 11,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,213.68 : 28,824.98 = 7,527 : x
  2. Step 2: Convert to fraction form
    19,213.68/28,824.98 = 7,527/x
  3. Step 3: Cross multiply
    19,213.68x = 28,824.98 × 7,527
  4. Step 4: Simplify right side
    19,213.68x = 216,965,586.83
  5. Step 5: Solve for x
    x = 216,965,586.83/19,213.68
  6. Step 6: Final answer
    x = 11,292.25

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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.