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Finding the Fourth Proportional to 6,505.42, 9,758.13 and 1,575.06

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Solution

The fourth proportional to 6,505.42, 9,758.13 and 1,575.06 is: 2,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.42 : 9,758.13 = 1,575.06 : x
  2. Step 2: Convert to fraction form
    6,505.42/9,758.13 = 1,575.06/x
  3. Step 3: Cross multiply
    6,505.42x = 9,758.13 × 1,575.06
  4. Step 4: Simplify right side
    6,505.42x = 15,369,640.24
  5. Step 5: Solve for x
    x = 15,369,640.24/6,505.42
  6. Step 6: Final answer
    x = 2,362.59

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Similar ratio
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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.