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Finding the Fourth Proportional to 9,500.54, 14,215.17 and 9,000.50

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Solution

The fourth proportional to 9,500.54, 14,215.17 and 9,000.50 is: 13,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.54 : 14,215.17 = 9,000.50 : x
  2. Step 2: Convert to fraction form
    9,500.54/14,215.17 = 9,000.50/x
  3. Step 3: Cross multiply
    9,500.54x = 14,215.17 × 9,000.50
  4. Step 4: Simplify right side
    9,500.54x = 127,943,637.59
  5. Step 5: Solve for x
    x = 127,943,637.59/9,500.54
  6. Step 6: Final answer
    x = 13,466.99

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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.