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Finding the Fourth Proportional to 9,228.16, 13,822.56 and 7,465.60

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Solution

The fourth proportional to 9,228.16, 13,822.56 and 7,465.60 is: 11,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.16 : 13,822.56 = 7,465.60 : x
  2. Step 2: Convert to fraction form
    9,228.16/13,822.56 = 7,465.60/x
  3. Step 3: Cross multiply
    9,228.16x = 13,822.56 × 7,465.60
  4. Step 4: Simplify right side
    9,228.16x = 103,193,703.94
  5. Step 5: Solve for x
    x = 103,193,703.94/9,228.16
  6. Step 6: Final answer
    x = 11,182.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.