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Finding the Fourth Proportional to 12,281.30, 16,948.19 and 6,692.30

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Solution

The fourth proportional to 12,281.30, 16,948.19 and 6,692.30 is: 9,235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.30 : 16,948.19 = 6,692.30 : x
  2. Step 2: Convert to fraction form
    12,281.30/16,948.19 = 6,692.30/x
  3. Step 3: Cross multiply
    12,281.30x = 16,948.19 × 6,692.30
  4. Step 4: Simplify right side
    12,281.30x = 113,422,303.93
  5. Step 5: Solve for x
    x = 113,422,303.93/12,281.30
  6. Step 6: Final answer
    x = 9,235.37

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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.