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Finding the Fourth Proportional to 7,903.98, 11,830.23 and 5,823.15

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Solution

The fourth proportional to 7,903.98, 11,830.23 and 5,823.15 is: 8,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.98 : 11,830.23 = 5,823.15 : x
  2. Step 2: Convert to fraction form
    7,903.98/11,830.23 = 5,823.15/x
  3. Step 3: Cross multiply
    7,903.98x = 11,830.23 × 5,823.15
  4. Step 4: Simplify right side
    7,903.98x = 68,889,203.82
  5. Step 5: Solve for x
    x = 68,889,203.82/7,903.98
  6. Step 6: Final answer
    x = 8,715.76

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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.