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Finding the Fourth Proportional to 9,854.26, 13,602.94 and 7,022.09

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Solution

The fourth proportional to 9,854.26, 13,602.94 and 7,022.09 is: 9,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.26 : 13,602.94 = 7,022.09 : x
  2. Step 2: Convert to fraction form
    9,854.26/13,602.94 = 7,022.09/x
  3. Step 3: Cross multiply
    9,854.26x = 13,602.94 × 7,022.09
  4. Step 4: Simplify right side
    9,854.26x = 95,521,085.40
  5. Step 5: Solve for x
    x = 95,521,085.40/9,854.26
  6. Step 6: Final answer
    x = 9,693.38

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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.