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Finding the Fourth Proportional to 7,292.34, 10,881.60 and 6,506.94

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Solution

The fourth proportional to 7,292.34, 10,881.60 and 6,506.94 is: 9,709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.34 : 10,881.60 = 6,506.94 : x
  2. Step 2: Convert to fraction form
    7,292.34/10,881.60 = 6,506.94/x
  3. Step 3: Cross multiply
    7,292.34x = 10,881.60 × 6,506.94
  4. Step 4: Simplify right side
    7,292.34x = 70,805,918.30
  5. Step 5: Solve for x
    x = 70,805,918.30/7,292.34
  6. Step 6: Final answer
    x = 9,709.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.