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Finding the Fourth Proportional to 9,516.53, 14,276.15 and 2,943.22

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Solution

The fourth proportional to 9,516.53, 14,276.15 and 2,943.22 is: 4,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.53 : 14,276.15 = 2,943.22 : x
  2. Step 2: Convert to fraction form
    9,516.53/14,276.15 = 2,943.22/x
  3. Step 3: Cross multiply
    9,516.53x = 14,276.15 × 2,943.22
  4. Step 4: Simplify right side
    9,516.53x = 42,017,835.49
  5. Step 5: Solve for x
    x = 42,017,835.49/9,516.53
  6. Step 6: Final answer
    x = 4,415.25

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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.