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Finding the Fourth Proportional to 9,673.94, 14,512.59 and 3,516.50

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Solution

The fourth proportional to 9,673.94, 14,512.59 and 3,516.50 is: 5,275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.94 : 14,512.59 = 3,516.50 : x
  2. Step 2: Convert to fraction form
    9,673.94/14,512.59 = 3,516.50/x
  3. Step 3: Cross multiply
    9,673.94x = 14,512.59 × 3,516.50
  4. Step 4: Simplify right side
    9,673.94x = 51,033,522.74
  5. Step 5: Solve for x
    x = 51,033,522.74/9,673.94
  6. Step 6: Final answer
    x = 5,275.36

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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.