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Finding the Fourth Proportional to 9,384.64, 12,950.16 and 5,193.04

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Solution

The fourth proportional to 9,384.64, 12,950.16 and 5,193.04 is: 7,166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.64 : 12,950.16 = 5,193.04 : x
  2. Step 2: Convert to fraction form
    9,384.64/12,950.16 = 5,193.04/x
  3. Step 3: Cross multiply
    9,384.64x = 12,950.16 × 5,193.04
  4. Step 4: Simplify right side
    9,384.64x = 67,250,698.89
  5. Step 5: Solve for x
    x = 67,250,698.89/9,384.64
  6. Step 6: Final answer
    x = 7,166.04

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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.