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Finding the Fourth Proportional to 16,598.16, 24,902.64 and 7,834.32

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Solution

The fourth proportional to 16,598.16, 24,902.64 and 7,834.32 is: 11,754.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598.16 : 24,902.64 = 7,834.32 : x
  2. Step 2: Convert to fraction form
    16,598.16/24,902.64 = 7,834.32/x
  3. Step 3: Cross multiply
    16,598.16x = 24,902.64 × 7,834.32
  4. Step 4: Simplify right side
    16,598.16x = 195,095,250.60
  5. Step 5: Solve for x
    x = 195,095,250.60/16,598.16
  6. Step 6: Final answer
    x = 11,754.03

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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.