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Finding the Fourth Proportional to 15,064, 22,598.16 and 4,676.56

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Solution

The fourth proportional to 15,064, 22,598.16 and 4,676.56 is: 7,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,064 : 22,598.16 = 4,676.56 : x
  2. Step 2: Convert to fraction form
    15,064/22,598.16 = 4,676.56/x
  3. Step 3: Cross multiply
    15,064x = 22,598.16 × 4,676.56
  4. Step 4: Simplify right side
    15,064x = 105,681,651.13
  5. Step 5: Solve for x
    x = 105,681,651.13/15,064
  6. Step 6: Final answer
    x = 7,015.51

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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.