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Finding the Fourth Proportional to 6,501.95, 9,752.95 and 1,571.59

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Solution

The fourth proportional to 6,501.95, 9,752.95 and 1,571.59 is: 2,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.95 : 9,752.95 = 1,571.59 : x
  2. Step 2: Convert to fraction form
    6,501.95/9,752.95 = 1,571.59/x
  3. Step 3: Cross multiply
    6,501.95x = 9,752.95 × 1,571.59
  4. Step 4: Simplify right side
    6,501.95x = 15,327,638.69
  5. Step 5: Solve for x
    x = 15,327,638.69/6,501.95
  6. Step 6: Final answer
    x = 2,357.39

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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.