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Finding the Fourth Proportional to 16,289.32, 24,416.88 and 6,927.16

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Solution

The fourth proportional to 16,289.32, 24,416.88 and 6,927.16 is: 10,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.32 : 24,416.88 = 6,927.16 : x
  2. Step 2: Convert to fraction form
    16,289.32/24,416.88 = 6,927.16/x
  3. Step 3: Cross multiply
    16,289.32x = 24,416.88 × 6,927.16
  4. Step 4: Simplify right side
    16,289.32x = 169,139,634.46
  5. Step 5: Solve for x
    x = 169,139,634.46/16,289.32
  6. Step 6: Final answer
    x = 10,383.47

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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.