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Finding the Fourth Proportional to 15,603.22, 23,407.87 and 5,742.58

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Solution

The fourth proportional to 15,603.22, 23,407.87 and 5,742.58 is: 8,614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,603.22 : 23,407.87 = 5,742.58 : x
  2. Step 2: Convert to fraction form
    15,603.22/23,407.87 = 5,742.58/x
  3. Step 3: Cross multiply
    15,603.22x = 23,407.87 × 5,742.58
  4. Step 4: Simplify right side
    15,603.22x = 134,421,566.10
  5. Step 5: Solve for x
    x = 134,421,566.10/15,603.22
  6. Step 6: Final answer
    x = 8,614.99

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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.