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Finding the Fourth Proportional to 9,706.05, 14,549.94 and 7,330.50

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Solution

The fourth proportional to 9,706.05, 14,549.94 and 7,330.50 is: 10,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.05 : 14,549.94 = 7,330.50 : x
  2. Step 2: Convert to fraction form
    9,706.05/14,549.94 = 7,330.50/x
  3. Step 3: Cross multiply
    9,706.05x = 14,549.94 × 7,330.50
  4. Step 4: Simplify right side
    9,706.05x = 106,658,335.17
  5. Step 5: Solve for x
    x = 106,658,335.17/9,706.05
  6. Step 6: Final answer
    x = 10,988.85

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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.