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Finding the Fourth Proportional to 9,820.88, 14,731.32 and 2,900.24

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Solution

The fourth proportional to 9,820.88, 14,731.32 and 2,900.24 is: 4,350.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.88 : 14,731.32 = 2,900.24 : x
  2. Step 2: Convert to fraction form
    9,820.88/14,731.32 = 2,900.24/x
  3. Step 3: Cross multiply
    9,820.88x = 14,731.32 × 2,900.24
  4. Step 4: Simplify right side
    9,820.88x = 42,724,363.52
  5. Step 5: Solve for x
    x = 42,724,363.52/9,820.88
  6. Step 6: Final answer
    x = 4,350.36

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Similar ratio
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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.