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Finding the Fourth Proportional to 9,782.55, 13,499.93 and 5,306.33

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Solution

The fourth proportional to 9,782.55, 13,499.93 and 5,306.33 is: 7,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.55 : 13,499.93 = 5,306.33 : x
  2. Step 2: Convert to fraction form
    9,782.55/13,499.93 = 5,306.33/x
  3. Step 3: Cross multiply
    9,782.55x = 13,499.93 × 5,306.33
  4. Step 4: Simplify right side
    9,782.55x = 71,635,130.57
  5. Step 5: Solve for x
    x = 71,635,130.57/9,782.55
  6. Step 6: Final answer
    x = 7,322.75

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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.