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Finding the Fourth Proportional to 9,594.78, 13,246.92 and 7,830.60

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Solution

The fourth proportional to 9,594.78, 13,246.92 and 7,830.60 is: 10,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.78 : 13,246.92 = 7,830.60 : x
  2. Step 2: Convert to fraction form
    9,594.78/13,246.92 = 7,830.60/x
  3. Step 3: Cross multiply
    9,594.78x = 13,246.92 × 7,830.60
  4. Step 4: Simplify right side
    9,594.78x = 103,731,331.75
  5. Step 5: Solve for x
    x = 103,731,331.75/9,594.78
  6. Step 6: Final answer
    x = 10,811.23

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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.