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Finding the Fourth Proportional to 6,475.37, 9,706.37 and 3,547.49

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Solution

The fourth proportional to 6,475.37, 9,706.37 and 3,547.49 is: 5,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.37 : 9,706.37 = 3,547.49 : x
  2. Step 2: Convert to fraction form
    6,475.37/9,706.37 = 3,547.49/x
  3. Step 3: Cross multiply
    6,475.37x = 9,706.37 × 3,547.49
  4. Step 4: Simplify right side
    6,475.37x = 34,433,184.24
  5. Step 5: Solve for x
    x = 34,433,184.24/6,475.37
  6. Step 6: Final answer
    x = 5,317.57

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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.