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Finding the Fourth Proportional to 10,523.66, 15,795.22 and 5,333.18

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Solution

The fourth proportional to 10,523.66, 15,795.22 and 5,333.18 is: 8,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.66 : 15,795.22 = 5,333.18 : x
  2. Step 2: Convert to fraction form
    10,523.66/15,795.22 = 5,333.18/x
  3. Step 3: Cross multiply
    10,523.66x = 15,795.22 × 5,333.18
  4. Step 4: Simplify right side
    10,523.66x = 84,238,751.40
  5. Step 5: Solve for x
    x = 84,238,751.40/10,523.66
  6. Step 6: Final answer
    x = 8,004.70

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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.