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Finding the Fourth Proportional to 11,265.64, 15,544.74 and 6,296.68

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Solution

The fourth proportional to 11,265.64, 15,544.74 and 6,296.68 is: 8,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265.64 : 15,544.74 = 6,296.68 : x
  2. Step 2: Convert to fraction form
    11,265.64/15,544.74 = 6,296.68/x
  3. Step 3: Cross multiply
    11,265.64x = 15,544.74 × 6,296.68
  4. Step 4: Simplify right side
    11,265.64x = 97,880,253.46
  5. Step 5: Solve for x
    x = 97,880,253.46/11,265.64
  6. Step 6: Final answer
    x = 8,688.39

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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.