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Finding the Fourth Proportional to 6,547.34, 9,747.95 and 6,168.26

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Solution

The fourth proportional to 6,547.34, 9,747.95 and 6,168.26 is: 9,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.34 : 9,747.95 = 6,168.26 : x
  2. Step 2: Convert to fraction form
    6,547.34/9,747.95 = 6,168.26/x
  3. Step 3: Cross multiply
    6,547.34x = 9,747.95 × 6,168.26
  4. Step 4: Simplify right side
    6,547.34x = 60,127,890.07
  5. Step 5: Solve for x
    x = 60,127,890.07/6,547.34
  6. Step 6: Final answer
    x = 9,183.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.