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Finding the Fourth Proportional to 9,953.40, 13,733.36 and 8,366.08

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Solution

The fourth proportional to 9,953.40, 13,733.36 and 8,366.08 is: 11,543.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.40 : 13,733.36 = 8,366.08 : x
  2. Step 2: Convert to fraction form
    9,953.40/13,733.36 = 8,366.08/x
  3. Step 3: Cross multiply
    9,953.40x = 13,733.36 × 8,366.08
  4. Step 4: Simplify right side
    9,953.40x = 114,894,388.43
  5. Step 5: Solve for x
    x = 114,894,388.43/9,953.40
  6. Step 6: Final answer
    x = 11,543.23

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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.