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Finding the Fourth Proportional to 9,647.30, 14,384.26 and 8,823.52

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Solution

The fourth proportional to 9,647.30, 14,384.26 and 8,823.52 is: 13,155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.30 : 14,384.26 = 8,823.52 : x
  2. Step 2: Convert to fraction form
    9,647.30/14,384.26 = 8,823.52/x
  3. Step 3: Cross multiply
    9,647.30x = 14,384.26 × 8,823.52
  4. Step 4: Simplify right side
    9,647.30x = 126,919,805.80
  5. Step 5: Solve for x
    x = 126,919,805.80/9,647.30
  6. Step 6: Final answer
    x = 13,155.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.