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Finding the Fourth Proportional to 9,287.90, 13,931.79 and 2,267.95

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Solution

The fourth proportional to 9,287.90, 13,931.79 and 2,267.95 is: 3,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.90 : 13,931.79 = 2,267.95 : x
  2. Step 2: Convert to fraction form
    9,287.90/13,931.79 = 2,267.95/x
  3. Step 3: Cross multiply
    9,287.90x = 13,931.79 × 2,267.95
  4. Step 4: Simplify right side
    9,287.90x = 31,596,533.47
  5. Step 5: Solve for x
    x = 31,596,533.47/9,287.90
  6. Step 6: Final answer
    x = 3,401.90

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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.