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Finding the Fourth Proportional to 9,468.54, 14,180.94 and 9,140.50

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Solution

The fourth proportional to 9,468.54, 14,180.94 and 9,140.50 is: 13,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.54 : 14,180.94 = 9,140.50 : x
  2. Step 2: Convert to fraction form
    9,468.54/14,180.94 = 9,140.50/x
  3. Step 3: Cross multiply
    9,468.54x = 14,180.94 × 9,140.50
  4. Step 4: Simplify right side
    9,468.54x = 129,620,882.07
  5. Step 5: Solve for x
    x = 129,620,882.07/9,468.54
  6. Step 6: Final answer
    x = 13,689.64

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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.