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Finding the Fourth Proportional to 6,547.34, 9,035.50 and 3,714.17

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Solution

The fourth proportional to 6,547.34, 9,035.50 and 3,714.17 is: 5,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.34 : 9,035.50 = 3,714.17 : x
  2. Step 2: Convert to fraction form
    6,547.34/9,035.50 = 3,714.17/x
  3. Step 3: Cross multiply
    6,547.34x = 9,035.50 × 3,714.17
  4. Step 4: Simplify right side
    6,547.34x = 33,559,383.04
  5. Step 5: Solve for x
    x = 33,559,383.04/6,547.34
  6. Step 6: Final answer
    x = 5,125.65

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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.