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Finding the Fourth Proportional to 24,692.40, 37,038.60 and 9,116.10

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Solution

The fourth proportional to 24,692.40, 37,038.60 and 9,116.10 is: 13,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.40 : 37,038.60 = 9,116.10 : x
  2. Step 2: Convert to fraction form
    24,692.40/37,038.60 = 9,116.10/x
  3. Step 3: Cross multiply
    24,692.40x = 37,038.60 × 9,116.10
  4. Step 4: Simplify right side
    24,692.40x = 337,647,581.46
  5. Step 5: Solve for x
    x = 337,647,581.46/24,692.40
  6. Step 6: Final answer
    x = 13,674.15

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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.