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Finding the Fourth Proportional to 6,547.38, 9,044.64 and 5,219.34

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Solution

The fourth proportional to 6,547.38, 9,044.64 and 5,219.34 is: 7,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.38 : 9,044.64 = 5,219.34 : x
  2. Step 2: Convert to fraction form
    6,547.38/9,044.64 = 5,219.34/x
  3. Step 3: Cross multiply
    6,547.38x = 9,044.64 × 5,219.34
  4. Step 4: Simplify right side
    6,547.38x = 47,207,051.34
  5. Step 5: Solve for x
    x = 47,207,051.34/6,547.38
  6. Step 6: Final answer
    x = 7,210.07

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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.