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Finding the Fourth Proportional to 6,352.07, 9,527.90 and 1,968.35

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Solution

The fourth proportional to 6,352.07, 9,527.90 and 1,968.35 is: 2,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.07 : 9,527.90 = 1,968.35 : x
  2. Step 2: Convert to fraction form
    6,352.07/9,527.90 = 1,968.35/x
  3. Step 3: Cross multiply
    6,352.07x = 9,527.90 × 1,968.35
  4. Step 4: Simplify right side
    6,352.07x = 18,754,184.48
  5. Step 5: Solve for x
    x = 18,754,184.48/6,352.07
  6. Step 6: Final answer
    x = 2,952.45

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1.5x scale

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.