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Finding the Fourth Proportional to 9,850.10, 14,775.15 and 4,666.10

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Solution

The fourth proportional to 9,850.10, 14,775.15 and 4,666.10 is: 6,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.10 : 14,775.15 = 4,666.10 : x
  2. Step 2: Convert to fraction form
    9,850.10/14,775.15 = 4,666.10/x
  3. Step 3: Cross multiply
    9,850.10x = 14,775.15 × 4,666.10
  4. Step 4: Simplify right side
    9,850.10x = 68,942,327.42
  5. Step 5: Solve for x
    x = 68,942,327.42/9,850.10
  6. Step 6: Final answer
    x = 6,999.15

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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.