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Finding the Fourth Proportional to 5,300.43, 7,297.86 and 4,668.63

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Solution

The fourth proportional to 5,300.43, 7,297.86 and 4,668.63 is: 6,427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.43 : 7,297.86 = 4,668.63 : x
  2. Step 2: Convert to fraction form
    5,300.43/7,297.86 = 4,668.63/x
  3. Step 3: Cross multiply
    5,300.43x = 7,297.86 × 4,668.63
  4. Step 4: Simplify right side
    5,300.43x = 34,071,008.13
  5. Step 5: Solve for x
    x = 34,071,008.13/5,300.43
  6. Step 6: Final answer
    x = 6,427.97

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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.