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Finding the Fourth Proportional to 9,775.76, 13,490.62 and 5,299.54

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Solution

The fourth proportional to 9,775.76, 13,490.62 and 5,299.54 is: 7,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.76 : 13,490.62 = 5,299.54 : x
  2. Step 2: Convert to fraction form
    9,775.76/13,490.62 = 5,299.54/x
  3. Step 3: Cross multiply
    9,775.76x = 13,490.62 × 5,299.54
  4. Step 4: Simplify right side
    9,775.76x = 71,494,080.31
  5. Step 5: Solve for x
    x = 71,494,080.31/9,775.76
  6. Step 6: Final answer
    x = 7,313.40

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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.