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Finding the Fourth Proportional to 9,806.01, 13,523.07 and 7,564.34

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Solution

The fourth proportional to 9,806.01, 13,523.07 and 7,564.34 is: 10,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.01 : 13,523.07 = 7,564.34 : x
  2. Step 2: Convert to fraction form
    9,806.01/13,523.07 = 7,564.34/x
  3. Step 3: Cross multiply
    9,806.01x = 13,523.07 × 7,564.34
  4. Step 4: Simplify right side
    9,806.01x = 102,293,031.71
  5. Step 5: Solve for x
    x = 102,293,031.71/9,806.01
  6. Step 6: Final answer
    x = 10,431.67

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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.