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Finding the Fourth Proportional to 9,763.64, 14,631.62 and 7,137.19

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Solution

The fourth proportional to 9,763.64, 14,631.62 and 7,137.19 is: 10,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.64 : 14,631.62 = 7,137.19 : x
  2. Step 2: Convert to fraction form
    9,763.64/14,631.62 = 7,137.19/x
  3. Step 3: Cross multiply
    9,763.64x = 14,631.62 × 7,137.19
  4. Step 4: Simplify right side
    9,763.64x = 104,428,651.95
  5. Step 5: Solve for x
    x = 104,428,651.95/9,763.64
  6. Step 6: Final answer
    x = 10,695.67

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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.