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Finding the Fourth Proportional to 6,497.60, 9,752.80 and 3,214.40

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Solution

The fourth proportional to 6,497.60, 9,752.80 and 3,214.40 is: 4,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.60 : 9,752.80 = 3,214.40 : x
  2. Step 2: Convert to fraction form
    6,497.60/9,752.80 = 3,214.40/x
  3. Step 3: Cross multiply
    6,497.60x = 9,752.80 × 3,214.40
  4. Step 4: Simplify right side
    6,497.60x = 31,349,400.32
  5. Step 5: Solve for x
    x = 31,349,400.32/6,497.60
  6. Step 6: Final answer
    x = 4,824.77

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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.