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Finding the Fourth Proportional to 7,119.68, 10,684.74 and 5,749.40

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Solution

The fourth proportional to 7,119.68, 10,684.74 and 5,749.40 is: 8,628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.68 : 10,684.74 = 5,749.40 : x
  2. Step 2: Convert to fraction form
    7,119.68/10,684.74 = 5,749.40/x
  3. Step 3: Cross multiply
    7,119.68x = 10,684.74 × 5,749.40
  4. Step 4: Simplify right side
    7,119.68x = 61,430,844.16
  5. Step 5: Solve for x
    x = 61,430,844.16/7,119.68
  6. Step 6: Final answer
    x = 8,628.32

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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.