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Finding the Fourth Proportional to 11,433.52, 15,780.40 and 6,465.52

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Solution

The fourth proportional to 11,433.52, 15,780.40 and 6,465.52 is: 8,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.52 : 15,780.40 = 6,465.52 : x
  2. Step 2: Convert to fraction form
    11,433.52/15,780.40 = 6,465.52/x
  3. Step 3: Cross multiply
    11,433.52x = 15,780.40 × 6,465.52
  4. Step 4: Simplify right side
    11,433.52x = 102,028,491.81
  5. Step 5: Solve for x
    x = 102,028,491.81/11,433.52
  6. Step 6: Final answer
    x = 8,923.63

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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.