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Finding the Fourth Proportional to 7,297.64, 10,071.30 and 4,153.64

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Solution

The fourth proportional to 7,297.64, 10,071.30 and 4,153.64 is: 5,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.64 : 10,071.30 = 4,153.64 : x
  2. Step 2: Convert to fraction form
    7,297.64/10,071.30 = 4,153.64/x
  3. Step 3: Cross multiply
    7,297.64x = 10,071.30 × 4,153.64
  4. Step 4: Simplify right side
    7,297.64x = 41,832,554.53
  5. Step 5: Solve for x
    x = 41,832,554.53/7,297.64
  6. Step 6: Final answer
    x = 5,732.34

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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.