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Finding the Fourth Proportional to 10,733, 14,813.97 and 6,543.68

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Solution

The fourth proportional to 10,733, 14,813.97 and 6,543.68 is: 9,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733 : 14,813.97 = 6,543.68 : x
  2. Step 2: Convert to fraction form
    10,733/14,813.97 = 6,543.68/x
  3. Step 3: Cross multiply
    10,733x = 14,813.97 × 6,543.68
  4. Step 4: Simplify right side
    10,733x = 96,937,879.21
  5. Step 5: Solve for x
    x = 96,937,879.21/10,733
  6. Step 6: Final answer
    x = 9,031.76

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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.