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Finding the Fourth Proportional to 10,977.80, 16,466.70 and 9,552.20

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Solution

The fourth proportional to 10,977.80, 16,466.70 and 9,552.20 is: 14,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.80 : 16,466.70 = 9,552.20 : x
  2. Step 2: Convert to fraction form
    10,977.80/16,466.70 = 9,552.20/x
  3. Step 3: Cross multiply
    10,977.80x = 16,466.70 × 9,552.20
  4. Step 4: Simplify right side
    10,977.80x = 157,293,211.74
  5. Step 5: Solve for x
    x = 157,293,211.74/10,977.80
  6. Step 6: Final answer
    x = 14,328.30

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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.