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Finding the Fourth Proportional to 7,953.17, 10,964.04 and 5,714.33

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Solution

The fourth proportional to 7,953.17, 10,964.04 and 5,714.33 is: 7,877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.17 : 10,964.04 = 5,714.33 : x
  2. Step 2: Convert to fraction form
    7,953.17/10,964.04 = 5,714.33/x
  3. Step 3: Cross multiply
    7,953.17x = 10,964.04 × 5,714.33
  4. Step 4: Simplify right side
    7,953.17x = 62,652,142.69
  5. Step 5: Solve for x
    x = 62,652,142.69/7,953.17
  6. Step 6: Final answer
    x = 7,877.63

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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.