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Finding the Fourth Proportional to 6,465.87, 9,697.04 and 1,784.76

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Solution

The fourth proportional to 6,465.87, 9,697.04 and 1,784.76 is: 2,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.87 : 9,697.04 = 1,784.76 : x
  2. Step 2: Convert to fraction form
    6,465.87/9,697.04 = 1,784.76/x
  3. Step 3: Cross multiply
    6,465.87x = 9,697.04 × 1,784.76
  4. Step 4: Simplify right side
    6,465.87x = 17,306,880.19
  5. Step 5: Solve for x
    x = 17,306,880.19/6,465.87
  6. Step 6: Final answer
    x = 2,676.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.