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Finding the Fourth Proportional to 9,931.88, 14,898.64 and 4,998.98

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Solution

The fourth proportional to 9,931.88, 14,898.64 and 4,998.98 is: 7,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.88 : 14,898.64 = 4,998.98 : x
  2. Step 2: Convert to fraction form
    9,931.88/14,898.64 = 4,998.98/x
  3. Step 3: Cross multiply
    9,931.88x = 14,898.64 × 4,998.98
  4. Step 4: Simplify right side
    9,931.88x = 74,478,003.39
  5. Step 5: Solve for x
    x = 74,478,003.39/9,931.88
  6. Step 6: Final answer
    x = 7,498.88

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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.