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Finding the Fourth Proportional to 15,886.01, 23,837.09 and 7,564.47

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Solution

The fourth proportional to 15,886.01, 23,837.09 and 7,564.47 is: 11,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.01 : 23,837.09 = 7,564.47 : x
  2. Step 2: Convert to fraction form
    15,886.01/23,837.09 = 7,564.47/x
  3. Step 3: Cross multiply
    15,886.01x = 23,837.09 × 7,564.47
  4. Step 4: Simplify right side
    15,886.01x = 180,314,914.37
  5. Step 5: Solve for x
    x = 180,314,914.37/15,886.01
  6. Step 6: Final answer
    x = 11,350.55

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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.