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Finding the Fourth Proportional to 6,509.42, 9,767.57 and 3,549.99

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Solution

The fourth proportional to 6,509.42, 9,767.57 and 3,549.99 is: 5,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.42 : 9,767.57 = 3,549.99 : x
  2. Step 2: Convert to fraction form
    6,509.42/9,767.57 = 3,549.99/x
  3. Step 3: Cross multiply
    6,509.42x = 9,767.57 × 3,549.99
  4. Step 4: Simplify right side
    6,509.42x = 34,674,758.07
  5. Step 5: Solve for x
    x = 34,674,758.07/6,509.42
  6. Step 6: Final answer
    x = 5,326.86

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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.