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Finding the Fourth Proportional to 15,078.84, 20,808.56 and 8,364.30

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Solution

The fourth proportional to 15,078.84, 20,808.56 and 8,364.30 is: 11,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.84 : 20,808.56 = 8,364.30 : x
  2. Step 2: Convert to fraction form
    15,078.84/20,808.56 = 8,364.30/x
  3. Step 3: Cross multiply
    15,078.84x = 20,808.56 × 8,364.30
  4. Step 4: Simplify right side
    15,078.84x = 174,049,038.41
  5. Step 5: Solve for x
    x = 174,049,038.41/15,078.84
  6. Step 6: Final answer
    x = 11,542.60

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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.