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Finding the Fourth Proportional to 7,641.84, 11,473.44 and 3,946.77

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Solution

The fourth proportional to 7,641.84, 11,473.44 and 3,946.77 is: 5,925.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.84 : 11,473.44 = 3,946.77 : x
  2. Step 2: Convert to fraction form
    7,641.84/11,473.44 = 3,946.77/x
  3. Step 3: Cross multiply
    7,641.84x = 11,473.44 × 3,946.77
  4. Step 4: Simplify right side
    7,641.84x = 45,283,028.79
  5. Step 5: Solve for x
    x = 45,283,028.79/7,641.84
  6. Step 6: Final answer
    x = 5,925.67

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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.