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Finding the Fourth Proportional to 12,281.50, 16,948.52 and 6,692.50

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Solution

The fourth proportional to 12,281.50, 16,948.52 and 6,692.50 is: 9,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.50 : 16,948.52 = 6,692.50 : x
  2. Step 2: Convert to fraction form
    12,281.50/16,948.52 = 6,692.50/x
  3. Step 3: Cross multiply
    12,281.50x = 16,948.52 × 6,692.50
  4. Step 4: Simplify right side
    12,281.50x = 113,427,970.10
  5. Step 5: Solve for x
    x = 113,427,970.10/12,281.50
  6. Step 6: Final answer
    x = 9,235.68

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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.