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Finding the Fourth Proportional to 10,396.51, 15,602.96 and 4,847

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Solution

The fourth proportional to 10,396.51, 15,602.96 and 4,847 is: 7,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.51 : 15,602.96 = 4,847 : x
  2. Step 2: Convert to fraction form
    10,396.51/15,602.96 = 4,847/x
  3. Step 3: Cross multiply
    10,396.51x = 15,602.96 × 4,847
  4. Step 4: Simplify right side
    10,396.51x = 75,627,547.12
  5. Step 5: Solve for x
    x = 75,627,547.12/10,396.51
  6. Step 6: Final answer
    x = 7,274.32

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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.