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Finding the Fourth Proportional to 10,984.90, 16,477.35 and 8,047.30

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Solution

The fourth proportional to 10,984.90, 16,477.35 and 8,047.30 is: 12,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.90 : 16,477.35 = 8,047.30 : x
  2. Step 2: Convert to fraction form
    10,984.90/16,477.35 = 8,047.30/x
  3. Step 3: Cross multiply
    10,984.90x = 16,477.35 × 8,047.30
  4. Step 4: Simplify right side
    10,984.90x = 132,598,178.66
  5. Step 5: Solve for x
    x = 132,598,178.66/10,984.90
  6. Step 6: Final answer
    x = 12,070.95

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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.