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Finding the Fourth Proportional to 7,064.57, 9,748.86 and 4,546.78

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Solution

The fourth proportional to 7,064.57, 9,748.86 and 4,546.78 is: 6,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.57 : 9,748.86 = 4,546.78 : x
  2. Step 2: Convert to fraction form
    7,064.57/9,748.86 = 4,546.78/x
  3. Step 3: Cross multiply
    7,064.57x = 9,748.86 × 4,546.78
  4. Step 4: Simplify right side
    7,064.57x = 44,325,935.09
  5. Step 5: Solve for x
    x = 44,325,935.09/7,064.57
  6. Step 6: Final answer
    x = 6,274.40

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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.