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Finding the Fourth Proportional to 13,465.70, 18,582.49 and 7,801.22

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Solution

The fourth proportional to 13,465.70, 18,582.49 and 7,801.22 is: 10,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.70 : 18,582.49 = 7,801.22 : x
  2. Step 2: Convert to fraction form
    13,465.70/18,582.49 = 7,801.22/x
  3. Step 3: Cross multiply
    13,465.70x = 18,582.49 × 7,801.22
  4. Step 4: Simplify right side
    13,465.70x = 144,966,092.64
  5. Step 5: Solve for x
    x = 144,966,092.64/13,465.70
  6. Step 6: Final answer
    x = 10,765.58

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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.