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Finding the Fourth Proportional to 7,263.84, 10,072.56 and 7,017.60

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Solution

The fourth proportional to 7,263.84, 10,072.56 and 7,017.60 is: 9,731.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.84 : 10,072.56 = 7,017.60 : x
  2. Step 2: Convert to fraction form
    7,263.84/10,072.56 = 7,017.60/x
  3. Step 3: Cross multiply
    7,263.84x = 10,072.56 × 7,017.60
  4. Step 4: Simplify right side
    7,263.84x = 70,685,197.06
  5. Step 5: Solve for x
    x = 70,685,197.06/7,263.84
  6. Step 6: Final answer
    x = 9,731.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.