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Finding the Fourth Proportional to 13,332.26, 18,400.14 and 7,743.26

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Solution

The fourth proportional to 13,332.26, 18,400.14 and 7,743.26 is: 10,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,332.26 : 18,400.14 = 7,743.26 : x
  2. Step 2: Convert to fraction form
    13,332.26/18,400.14 = 7,743.26/x
  3. Step 3: Cross multiply
    13,332.26x = 18,400.14 × 7,743.26
  4. Step 4: Simplify right side
    13,332.26x = 142,477,068.06
  5. Step 5: Solve for x
    x = 142,477,068.06/13,332.26
  6. Step 6: Final answer
    x = 10,686.64

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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.