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Finding the Fourth Proportional to 9,172.66, 13,758.48 and 5,663.32

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Solution

The fourth proportional to 9,172.66, 13,758.48 and 5,663.32 is: 8,494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.66 : 13,758.48 = 5,663.32 : x
  2. Step 2: Convert to fraction form
    9,172.66/13,758.48 = 5,663.32/x
  3. Step 3: Cross multiply
    9,172.66x = 13,758.48 × 5,663.32
  4. Step 4: Simplify right side
    9,172.66x = 77,918,674.95
  5. Step 5: Solve for x
    x = 77,918,674.95/9,172.66
  6. Step 6: Final answer
    x = 8,494.67

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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.