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Finding the Fourth Proportional to 10,998.90, 16,475.95 and 6,826.10

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Solution

The fourth proportional to 10,998.90, 16,475.95 and 6,826.10 is: 10,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.90 : 16,475.95 = 6,826.10 : x
  2. Step 2: Convert to fraction form
    10,998.90/16,475.95 = 6,826.10/x
  3. Step 3: Cross multiply
    10,998.90x = 16,475.95 × 6,826.10
  4. Step 4: Simplify right side
    10,998.90x = 112,466,482.30
  5. Step 5: Solve for x
    x = 112,466,482.30/10,998.90
  6. Step 6: Final answer
    x = 10,225.25

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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.