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Finding the Fourth Proportional to 9,477.24, 14,215.86 and 8,763

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Solution

The fourth proportional to 9,477.24, 14,215.86 and 8,763 is: 13,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.24 : 14,215.86 = 8,763 : x
  2. Step 2: Convert to fraction form
    9,477.24/14,215.86 = 8,763/x
  3. Step 3: Cross multiply
    9,477.24x = 14,215.86 × 8,763
  4. Step 4: Simplify right side
    9,477.24x = 124,573,581.18
  5. Step 5: Solve for x
    x = 124,573,581.18/9,477.24
  6. Step 6: Final answer
    x = 13,144.50

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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.