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Finding the Fourth Proportional to 16,427.54, 24,641.28 and 6,569.12

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Solution

The fourth proportional to 16,427.54, 24,641.28 and 6,569.12 is: 9,853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.54 : 24,641.28 = 6,569.12 : x
  2. Step 2: Convert to fraction form
    16,427.54/24,641.28 = 6,569.12/x
  3. Step 3: Cross multiply
    16,427.54x = 24,641.28 × 6,569.12
  4. Step 4: Simplify right side
    16,427.54x = 161,871,586.88
  5. Step 5: Solve for x
    x = 161,871,586.88/16,427.54
  6. Step 6: Final answer
    x = 9,853.67

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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.