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Finding the Fourth Proportional to 6,598, 9,897.54 and 1,981

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Solution

The fourth proportional to 6,598, 9,897.54 and 1,981 is: 2,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598 : 9,897.54 = 1,981 : x
  2. Step 2: Convert to fraction form
    6,598/9,897.54 = 1,981/x
  3. Step 3: Cross multiply
    6,598x = 9,897.54 × 1,981
  4. Step 4: Simplify right side
    6,598x = 19,607,026.74
  5. Step 5: Solve for x
    x = 19,607,026.74/6,598
  6. Step 6: Final answer
    x = 2,971.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.