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Finding the Fourth Proportional to 7,654.34, 10,563.10 and 4,297.88

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Solution

The fourth proportional to 7,654.34, 10,563.10 and 4,297.88 is: 5,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.34 : 10,563.10 = 4,297.88 : x
  2. Step 2: Convert to fraction form
    7,654.34/10,563.10 = 4,297.88/x
  3. Step 3: Cross multiply
    7,654.34x = 10,563.10 × 4,297.88
  4. Step 4: Simplify right side
    7,654.34x = 45,398,936.23
  5. Step 5: Solve for x
    x = 45,398,936.23/7,654.34
  6. Step 6: Final answer
    x = 5,931.14

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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.