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Finding the Fourth Proportional to 9,765.03, 13,475.74 and 5,288.80

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Solution

The fourth proportional to 9,765.03, 13,475.74 and 5,288.80 is: 7,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.03 : 13,475.74 = 5,288.80 : x
  2. Step 2: Convert to fraction form
    9,765.03/13,475.74 = 5,288.80/x
  3. Step 3: Cross multiply
    9,765.03x = 13,475.74 × 5,288.80
  4. Step 4: Simplify right side
    9,765.03x = 71,270,399.89
  5. Step 5: Solve for x
    x = 71,270,399.89/9,765.03
  6. Step 6: Final answer
    x = 7,298.53

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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.