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Finding the Fourth Proportional to 13,264.84, 19,897.28 and 6,318.28

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Solution

The fourth proportional to 13,264.84, 19,897.28 and 6,318.28 is: 9,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.84 : 19,897.28 = 6,318.28 : x
  2. Step 2: Convert to fraction form
    13,264.84/19,897.28 = 6,318.28/x
  3. Step 3: Cross multiply
    13,264.84x = 19,897.28 × 6,318.28
  4. Step 4: Simplify right side
    13,264.84x = 125,716,586.28
  5. Step 5: Solve for x
    x = 125,716,586.28/13,264.84
  6. Step 6: Final answer
    x = 9,477.43

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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.