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Finding the Fourth Proportional to 7,064.64, 9,748.78 and 4,233.49

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Solution

The fourth proportional to 7,064.64, 9,748.78 and 4,233.49 is: 5,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.64 : 9,748.78 = 4,233.49 : x
  2. Step 2: Convert to fraction form
    7,064.64/9,748.78 = 4,233.49/x
  3. Step 3: Cross multiply
    7,064.64x = 9,748.78 × 4,233.49
  4. Step 4: Simplify right side
    7,064.64x = 41,271,362.64
  5. Step 5: Solve for x
    x = 41,271,362.64/7,064.64
  6. Step 6: Final answer
    x = 5,841.96

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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.