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Finding the Fourth Proportional to 7,964.66, 10,992.65 and 4,606.94

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Solution

The fourth proportional to 7,964.66, 10,992.65 and 4,606.94 is: 6,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.66 : 10,992.65 = 4,606.94 : x
  2. Step 2: Convert to fraction form
    7,964.66/10,992.65 = 4,606.94/x
  3. Step 3: Cross multiply
    7,964.66x = 10,992.65 × 4,606.94
  4. Step 4: Simplify right side
    7,964.66x = 50,642,483.44
  5. Step 5: Solve for x
    x = 50,642,483.44/7,964.66
  6. Step 6: Final answer
    x = 6,358.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.