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Finding the Fourth Proportional to 9,264.99, 13,897.41 and 7,875.03

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Solution

The fourth proportional to 9,264.99, 13,897.41 and 7,875.03 is: 11,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.99 : 13,897.41 = 7,875.03 : x
  2. Step 2: Convert to fraction form
    9,264.99/13,897.41 = 7,875.03/x
  3. Step 3: Cross multiply
    9,264.99x = 13,897.41 × 7,875.03
  4. Step 4: Simplify right side
    9,264.99x = 109,442,520.67
  5. Step 5: Solve for x
    x = 109,442,520.67/9,264.99
  6. Step 6: Final answer
    x = 11,812.48

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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.