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Finding the Fourth Proportional to 6,547.43, 9,035.28 and 3,714.73

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Solution

The fourth proportional to 6,547.43, 9,035.28 and 3,714.73 is: 5,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.43 : 9,035.28 = 3,714.73 : x
  2. Step 2: Convert to fraction form
    6,547.43/9,035.28 = 3,714.73/x
  3. Step 3: Cross multiply
    6,547.43x = 9,035.28 × 3,714.73
  4. Step 4: Simplify right side
    6,547.43x = 33,563,603.09
  5. Step 5: Solve for x
    x = 33,563,603.09/6,547.43
  6. Step 6: Final answer
    x = 5,126.22

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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.