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Finding the Fourth Proportional to 9,859.71, 13,605.08 and 5,668.23

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Solution

The fourth proportional to 9,859.71, 13,605.08 and 5,668.23 is: 7,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.71 : 13,605.08 = 5,668.23 : x
  2. Step 2: Convert to fraction form
    9,859.71/13,605.08 = 5,668.23/x
  3. Step 3: Cross multiply
    9,859.71x = 13,605.08 × 5,668.23
  4. Step 4: Simplify right side
    9,859.71x = 77,116,694.27
  5. Step 5: Solve for x
    x = 77,116,694.27/9,859.71
  6. Step 6: Final answer
    x = 7,821.40

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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.