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Finding the Fourth Proportional to 9,763.72, 13,473.12 and 5,730.11

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Solution

The fourth proportional to 9,763.72, 13,473.12 and 5,730.11 is: 7,907.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.72 : 13,473.12 = 5,730.11 : x
  2. Step 2: Convert to fraction form
    9,763.72/13,473.12 = 5,730.11/x
  3. Step 3: Cross multiply
    9,763.72x = 13,473.12 × 5,730.11
  4. Step 4: Simplify right side
    9,763.72x = 77,202,448.39
  5. Step 5: Solve for x
    x = 77,202,448.39/9,763.72
  6. Step 6: Final answer
    x = 7,907.08

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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.