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Finding the Fourth Proportional to 6,900.64, 10,370.64 and 4,606.72

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Solution

The fourth proportional to 6,900.64, 10,370.64 and 4,606.72 is: 6,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.64 : 10,370.64 = 4,606.72 : x
  2. Step 2: Convert to fraction form
    6,900.64/10,370.64 = 4,606.72/x
  3. Step 3: Cross multiply
    6,900.64x = 10,370.64 × 4,606.72
  4. Step 4: Simplify right side
    6,900.64x = 47,774,634.70
  5. Step 5: Solve for x
    x = 47,774,634.70/6,900.64
  6. Step 6: Final answer
    x = 6,923.22

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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.