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Finding the Fourth Proportional to 7,659.53, 10,562.34 and 7,213.06

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Solution

The fourth proportional to 7,659.53, 10,562.34 and 7,213.06 is: 9,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.53 : 10,562.34 = 7,213.06 : x
  2. Step 2: Convert to fraction form
    7,659.53/10,562.34 = 7,213.06/x
  3. Step 3: Cross multiply
    7,659.53x = 10,562.34 × 7,213.06
  4. Step 4: Simplify right side
    7,659.53x = 76,186,703.28
  5. Step 5: Solve for x
    x = 76,186,703.28/7,659.53
  6. Step 6: Final answer
    x = 9,946.66

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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.