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Finding the Fourth Proportional to 7,547.64, 11,320.47 and 2,001

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Solution

The fourth proportional to 7,547.64, 11,320.47 and 2,001 is: 3,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.64 : 11,320.47 = 2,001 : x
  2. Step 2: Convert to fraction form
    7,547.64/11,320.47 = 2,001/x
  3. Step 3: Cross multiply
    7,547.64x = 11,320.47 × 2,001
  4. Step 4: Simplify right side
    7,547.64x = 22,652,260.47
  5. Step 5: Solve for x
    x = 22,652,260.47/7,547.64
  6. Step 6: Final answer
    x = 3,001.24

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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.