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Finding the Fourth Proportional to 6,397.29, 8,802.67 and 4,904.64

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Solution

The fourth proportional to 6,397.29, 8,802.67 and 4,904.64 is: 6,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.29 : 8,802.67 = 4,904.64 : x
  2. Step 2: Convert to fraction form
    6,397.29/8,802.67 = 4,904.64/x
  3. Step 3: Cross multiply
    6,397.29x = 8,802.67 × 4,904.64
  4. Step 4: Simplify right side
    6,397.29x = 43,173,927.39
  5. Step 5: Solve for x
    x = 43,173,927.39/6,397.29
  6. Step 6: Final answer
    x = 6,748.78

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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.