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Finding the Fourth Proportional to 8,154.70, 11,258.52 and 6,262.63

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Solution

The fourth proportional to 8,154.70, 11,258.52 and 6,262.63 is: 8,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.70 : 11,258.52 = 6,262.63 : x
  2. Step 2: Convert to fraction form
    8,154.70/11,258.52 = 6,262.63/x
  3. Step 3: Cross multiply
    8,154.70x = 11,258.52 × 6,262.63
  4. Step 4: Simplify right side
    8,154.70x = 70,507,945.11
  5. Step 5: Solve for x
    x = 70,507,945.11/8,154.70
  6. Step 6: Final answer
    x = 8,646.30

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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.