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Finding the Fourth Proportional to 7,607.85, 11,393.14 and 6,283.50

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Solution

The fourth proportional to 7,607.85, 11,393.14 and 6,283.50 is: 9,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.85 : 11,393.14 = 6,283.50 : x
  2. Step 2: Convert to fraction form
    7,607.85/11,393.14 = 6,283.50/x
  3. Step 3: Cross multiply
    7,607.85x = 11,393.14 × 6,283.50
  4. Step 4: Simplify right side
    7,607.85x = 71,588,748.54
  5. Step 5: Solve for x
    x = 71,588,748.54/7,607.85
  6. Step 6: Final answer
    x = 9,409.86

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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.