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Finding the Fourth Proportional to 6,350.34, 9,526.48 and 1,966.74

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Solution

The fourth proportional to 6,350.34, 9,526.48 and 1,966.74 is: 2,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.34 : 9,526.48 = 1,966.74 : x
  2. Step 2: Convert to fraction form
    6,350.34/9,526.48 = 1,966.74/x
  3. Step 3: Cross multiply
    6,350.34x = 9,526.48 × 1,966.74
  4. Step 4: Simplify right side
    6,350.34x = 18,736,109.28
  5. Step 5: Solve for x
    x = 18,736,109.28/6,350.34
  6. Step 6: Final answer
    x = 2,950.41

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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.