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Finding the Fourth Proportional to 6,276.64, 9,416.32 and 1,894.48

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Solution

The fourth proportional to 6,276.64, 9,416.32 and 1,894.48 is: 2,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.64 : 9,416.32 = 1,894.48 : x
  2. Step 2: Convert to fraction form
    6,276.64/9,416.32 = 1,894.48/x
  3. Step 3: Cross multiply
    6,276.64x = 9,416.32 × 1,894.48
  4. Step 4: Simplify right side
    6,276.64x = 17,839,029.91
  5. Step 5: Solve for x
    x = 17,839,029.91/6,276.64
  6. Step 6: Final answer
    x = 2,842.13

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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.