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Finding the Fourth Proportional to 9,711.04, 13,402.76 and 5,936.40

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Solution

The fourth proportional to 9,711.04, 13,402.76 and 5,936.40 is: 8,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.04 : 13,402.76 = 5,936.40 : x
  2. Step 2: Convert to fraction form
    9,711.04/13,402.76 = 5,936.40/x
  3. Step 3: Cross multiply
    9,711.04x = 13,402.76 × 5,936.40
  4. Step 4: Simplify right side
    9,711.04x = 79,564,144.46
  5. Step 5: Solve for x
    x = 79,564,144.46/9,711.04
  6. Step 6: Final answer
    x = 8,193.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.