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Finding the Fourth Proportional to 9,584.54, 14,357.67 and 7,613.51

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Solution

The fourth proportional to 9,584.54, 14,357.67 and 7,613.51 is: 11,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.54 : 14,357.67 = 7,613.51 : x
  2. Step 2: Convert to fraction form
    9,584.54/14,357.67 = 7,613.51/x
  3. Step 3: Cross multiply
    9,584.54x = 14,357.67 × 7,613.51
  4. Step 4: Simplify right side
    9,584.54x = 109,312,287.37
  5. Step 5: Solve for x
    x = 109,312,287.37/9,584.54
  6. Step 6: Final answer
    x = 11,405.06

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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.