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Finding the Fourth Proportional to 7,697.13, 10,620.01 and 4,712.78

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Solution

The fourth proportional to 7,697.13, 10,620.01 and 4,712.78 is: 6,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.13 : 10,620.01 = 4,712.78 : x
  2. Step 2: Convert to fraction form
    7,697.13/10,620.01 = 4,712.78/x
  3. Step 3: Cross multiply
    7,697.13x = 10,620.01 × 4,712.78
  4. Step 4: Simplify right side
    7,697.13x = 50,049,803.17
  5. Step 5: Solve for x
    x = 50,049,803.17/7,697.13
  6. Step 6: Final answer
    x = 6,502.40

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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.