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Finding the Fourth Proportional to 11,482.79, 15,845.07 and 7,705.20

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Solution

The fourth proportional to 11,482.79, 15,845.07 and 7,705.20 is: 10,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.79 : 15,845.07 = 7,705.20 : x
  2. Step 2: Convert to fraction form
    11,482.79/15,845.07 = 7,705.20/x
  3. Step 3: Cross multiply
    11,482.79x = 15,845.07 × 7,705.20
  4. Step 4: Simplify right side
    11,482.79x = 122,089,433.36
  5. Step 5: Solve for x
    x = 122,089,433.36/11,482.79
  6. Step 6: Final answer
    x = 10,632.38

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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.