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Finding the Fourth Proportional to 7,771.52, 10,717.08 and 6,090.32

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Solution

The fourth proportional to 7,771.52, 10,717.08 and 6,090.32 is: 8,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.52 : 10,717.08 = 6,090.32 : x
  2. Step 2: Convert to fraction form
    7,771.52/10,717.08 = 6,090.32/x
  3. Step 3: Cross multiply
    7,771.52x = 10,717.08 × 6,090.32
  4. Step 4: Simplify right side
    7,771.52x = 65,270,446.67
  5. Step 5: Solve for x
    x = 65,270,446.67/7,771.52
  6. Step 6: Final answer
    x = 8,398.67

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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.