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Finding the Fourth Proportional to 9,715.84, 13,408.41 and 7,353.88

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Solution

The fourth proportional to 9,715.84, 13,408.41 and 7,353.88 is: 10,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.84 : 13,408.41 = 7,353.88 : x
  2. Step 2: Convert to fraction form
    9,715.84/13,408.41 = 7,353.88/x
  3. Step 3: Cross multiply
    9,715.84x = 13,408.41 × 7,353.88
  4. Step 4: Simplify right side
    9,715.84x = 98,603,838.13
  5. Step 5: Solve for x
    x = 98,603,838.13/9,715.84
  6. Step 6: Final answer
    x = 10,148.77

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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.