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Finding the Fourth Proportional to 6,465.76, 8,933.76 and 6,299.84

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Solution

The fourth proportional to 6,465.76, 8,933.76 and 6,299.84 is: 8,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.76 : 8,933.76 = 6,299.84 : x
  2. Step 2: Convert to fraction form
    6,465.76/8,933.76 = 6,299.84/x
  3. Step 3: Cross multiply
    6,465.76x = 8,933.76 × 6,299.84
  4. Step 4: Simplify right side
    6,465.76x = 56,281,258.60
  5. Step 5: Solve for x
    x = 56,281,258.60/6,465.76
  6. Step 6: Final answer
    x = 8,704.51

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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.