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Finding the Fourth Proportional to 4,763.07, 7,144.47 and 1,300.32

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Solution

The fourth proportional to 4,763.07, 7,144.47 and 1,300.32 is: 1,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.07 : 7,144.47 = 1,300.32 : x
  2. Step 2: Convert to fraction form
    4,763.07/7,144.47 = 1,300.32/x
  3. Step 3: Cross multiply
    4,763.07x = 7,144.47 × 1,300.32
  4. Step 4: Simplify right side
    4,763.07x = 9,290,097.23
  5. Step 5: Solve for x
    x = 9,290,097.23/4,763.07
  6. Step 6: Final answer
    x = 1,950.44

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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.