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Finding the Fourth Proportional to 9,528.50, 14,293.38 and 2,603

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Solution

The fourth proportional to 9,528.50, 14,293.38 and 2,603 is: 3,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.50 : 14,293.38 = 2,603 : x
  2. Step 2: Convert to fraction form
    9,528.50/14,293.38 = 2,603/x
  3. Step 3: Cross multiply
    9,528.50x = 14,293.38 × 2,603
  4. Step 4: Simplify right side
    9,528.50x = 37,205,668.14
  5. Step 5: Solve for x
    x = 37,205,668.14/9,528.50
  6. Step 6: Final answer
    x = 3,904.67

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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.