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Finding the Fourth Proportional to 7,644.71, 11,464.66 and 2,964.40

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Solution

The fourth proportional to 7,644.71, 11,464.66 and 2,964.40 is: 4,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.71 : 11,464.66 = 2,964.40 : x
  2. Step 2: Convert to fraction form
    7,644.71/11,464.66 = 2,964.40/x
  3. Step 3: Cross multiply
    7,644.71x = 11,464.66 × 2,964.40
  4. Step 4: Simplify right side
    7,644.71x = 33,985,838.10
  5. Step 5: Solve for x
    x = 33,985,838.10/7,644.71
  6. Step 6: Final answer
    x = 4,445.67

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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.