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Finding the Fourth Proportional to 6,572, 9,858.32 and 1,955.04

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Solution

The fourth proportional to 6,572, 9,858.32 and 1,955.04 is: 2,932.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572 : 9,858.32 = 1,955.04 : x
  2. Step 2: Convert to fraction form
    6,572/9,858.32 = 1,955.04/x
  3. Step 3: Cross multiply
    6,572x = 9,858.32 × 1,955.04
  4. Step 4: Simplify right side
    6,572x = 19,273,409.93
  5. Step 5: Solve for x
    x = 19,273,409.93/6,572
  6. Step 6: Final answer
    x = 2,932.66

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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.