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Finding the Fourth Proportional to 7,883.68, 11,816.32 and 5,929.60

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Solution

The fourth proportional to 7,883.68, 11,816.32 and 5,929.60 is: 8,887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.68 : 11,816.32 = 5,929.60 : x
  2. Step 2: Convert to fraction form
    7,883.68/11,816.32 = 5,929.60/x
  3. Step 3: Cross multiply
    7,883.68x = 11,816.32 × 5,929.60
  4. Step 4: Simplify right side
    7,883.68x = 70,066,051.07
  5. Step 5: Solve for x
    x = 70,066,051.07/7,883.68
  6. Step 6: Final answer
    x = 8,887.48

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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.