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Finding the Fourth Proportional to 23,560.50, 35,349.84 and 7,978.08

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Solution

The fourth proportional to 23,560.50, 35,349.84 and 7,978.08 is: 11,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,560.50 : 35,349.84 = 7,978.08 : x
  2. Step 2: Convert to fraction form
    23,560.50/35,349.84 = 7,978.08/x
  3. Step 3: Cross multiply
    23,560.50x = 35,349.84 × 7,978.08
  4. Step 4: Simplify right side
    23,560.50x = 282,023,851.51
  5. Step 5: Solve for x
    x = 282,023,851.51/23,560.50
  6. Step 6: Final answer
    x = 11,970.20

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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.