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Finding the Fourth Proportional to 9,627, 13,254.38 and 8,384.46

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Solution

The fourth proportional to 9,627, 13,254.38 and 8,384.46 is: 11,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627 : 13,254.38 = 8,384.46 : x
  2. Step 2: Convert to fraction form
    9,627/13,254.38 = 8,384.46/x
  3. Step 3: Cross multiply
    9,627x = 13,254.38 × 8,384.46
  4. Step 4: Simplify right side
    9,627x = 111,130,818.93
  5. Step 5: Solve for x
    x = 111,130,818.93/9,627
  6. Step 6: Final answer
    x = 11,543.66

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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.