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Finding the Fourth Proportional to 21,871.38, 32,803.56 and 7,828.80

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Solution

The fourth proportional to 21,871.38, 32,803.56 and 7,828.80 is: 11,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.38 : 32,803.56 = 7,828.80 : x
  2. Step 2: Convert to fraction form
    21,871.38/32,803.56 = 7,828.80/x
  3. Step 3: Cross multiply
    21,871.38x = 32,803.56 × 7,828.80
  4. Step 4: Simplify right side
    21,871.38x = 256,812,510.53
  5. Step 5: Solve for x
    x = 256,812,510.53/21,871.38
  6. Step 6: Final answer
    x = 11,741.94

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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.