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Finding the Fourth Proportional to 7,697.64, 10,620.78 and 4,712.40

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Solution

The fourth proportional to 7,697.64, 10,620.78 and 4,712.40 is: 6,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.64 : 10,620.78 = 4,712.40 : x
  2. Step 2: Convert to fraction form
    7,697.64/10,620.78 = 4,712.40/x
  3. Step 3: Cross multiply
    7,697.64x = 10,620.78 × 4,712.40
  4. Step 4: Simplify right side
    7,697.64x = 50,049,363.67
  5. Step 5: Solve for x
    x = 50,049,363.67/7,697.64
  6. Step 6: Final answer
    x = 6,501.91

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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.