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Finding the Fourth Proportional to 9,350.10, 12,903.09 and 5,101.08

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Solution

The fourth proportional to 9,350.10, 12,903.09 and 5,101.08 is: 7,039.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350.10 : 12,903.09 = 5,101.08 : x
  2. Step 2: Convert to fraction form
    9,350.10/12,903.09 = 5,101.08/x
  3. Step 3: Cross multiply
    9,350.10x = 12,903.09 × 5,101.08
  4. Step 4: Simplify right side
    9,350.10x = 65,819,694.34
  5. Step 5: Solve for x
    x = 65,819,694.34/9,350.10
  6. Step 6: Final answer
    x = 7,039.46

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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.