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Finding the Fourth Proportional to 15,098.83, 20,836.34 and 8,384.29

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Solution

The fourth proportional to 15,098.83, 20,836.34 and 8,384.29 is: 11,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.83 : 20,836.34 = 8,384.29 : x
  2. Step 2: Convert to fraction form
    15,098.83/20,836.34 = 8,384.29/x
  3. Step 3: Cross multiply
    15,098.83x = 20,836.34 × 8,384.29
  4. Step 4: Simplify right side
    15,098.83x = 174,697,875.18
  5. Step 5: Solve for x
    x = 174,697,875.18/15,098.83
  6. Step 6: Final answer
    x = 11,570.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.