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Finding the Fourth Proportional to 9,293.22, 12,829.60 and 7,164.08

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Solution

The fourth proportional to 9,293.22, 12,829.60 and 7,164.08 is: 9,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.22 : 12,829.60 = 7,164.08 : x
  2. Step 2: Convert to fraction form
    9,293.22/12,829.60 = 7,164.08/x
  3. Step 3: Cross multiply
    9,293.22x = 12,829.60 × 7,164.08
  4. Step 4: Simplify right side
    9,293.22x = 91,912,280.77
  5. Step 5: Solve for x
    x = 91,912,280.77/9,293.22
  6. Step 6: Final answer
    x = 9,890.25

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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.