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Finding the Fourth Proportional to 9,775.02, 13,478.73 and 8,830.56

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Solution

The fourth proportional to 9,775.02, 13,478.73 and 8,830.56 is: 12,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.02 : 13,478.73 = 8,830.56 : x
  2. Step 2: Convert to fraction form
    9,775.02/13,478.73 = 8,830.56/x
  3. Step 3: Cross multiply
    9,775.02x = 13,478.73 × 8,830.56
  4. Step 4: Simplify right side
    9,775.02x = 119,024,733.99
  5. Step 5: Solve for x
    x = 119,024,733.99/9,775.02
  6. Step 6: Final answer
    x = 12,176.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.