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Finding the Fourth Proportional to 9,798.24, 13,532.82 and 6,456

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Solution

The fourth proportional to 9,798.24, 13,532.82 and 6,456 is: 8,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.24 : 13,532.82 = 6,456 : x
  2. Step 2: Convert to fraction form
    9,798.24/13,532.82 = 6,456/x
  3. Step 3: Cross multiply
    9,798.24x = 13,532.82 × 6,456
  4. Step 4: Simplify right side
    9,798.24x = 87,367,885.92
  5. Step 5: Solve for x
    x = 87,367,885.92/9,798.24
  6. Step 6: Final answer
    x = 8,916.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.