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Finding the Fourth Proportional to 4,697.64, 6,482.66 and 2,834.64

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Solution

The fourth proportional to 4,697.64, 6,482.66 and 2,834.64 is: 3,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.64 : 6,482.66 = 2,834.64 : x
  2. Step 2: Convert to fraction form
    4,697.64/6,482.66 = 2,834.64/x
  3. Step 3: Cross multiply
    4,697.64x = 6,482.66 × 2,834.64
  4. Step 4: Simplify right side
    4,697.64x = 18,376,007.34
  5. Step 5: Solve for x
    x = 18,376,007.34/4,697.64
  6. Step 6: Final answer
    x = 3,911.75

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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.