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Finding the Fourth Proportional to 16,205.60, 24,314.16 and 6,978.08

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Solution

The fourth proportional to 16,205.60, 24,314.16 and 6,978.08 is: 10,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.60 : 24,314.16 = 6,978.08 : x
  2. Step 2: Convert to fraction form
    16,205.60/24,314.16 = 6,978.08/x
  3. Step 3: Cross multiply
    16,205.60x = 24,314.16 × 6,978.08
  4. Step 4: Simplify right side
    16,205.60x = 169,666,153.61
  5. Step 5: Solve for x
    x = 169,666,153.61/16,205.60
  6. Step 6: Final answer
    x = 10,469.60

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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.