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Finding the Fourth Proportional to 9,827.16, 13,550.31 and 7,465.20

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Solution

The fourth proportional to 9,827.16, 13,550.31 and 7,465.20 is: 10,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.16 : 13,550.31 = 7,465.20 : x
  2. Step 2: Convert to fraction form
    9,827.16/13,550.31 = 7,465.20/x
  3. Step 3: Cross multiply
    9,827.16x = 13,550.31 × 7,465.20
  4. Step 4: Simplify right side
    9,827.16x = 101,155,774.21
  5. Step 5: Solve for x
    x = 101,155,774.21/9,827.16
  6. Step 6: Final answer
    x = 10,293.49

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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.