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Finding the Fourth Proportional to 7,735.51, 10,675.19 and 4,749.65

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Solution

The fourth proportional to 7,735.51, 10,675.19 and 4,749.65 is: 6,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.51 : 10,675.19 = 4,749.65 : x
  2. Step 2: Convert to fraction form
    7,735.51/10,675.19 = 4,749.65/x
  3. Step 3: Cross multiply
    7,735.51x = 10,675.19 × 4,749.65
  4. Step 4: Simplify right side
    7,735.51x = 50,703,416.18
  5. Step 5: Solve for x
    x = 50,703,416.18/7,735.51
  6. Step 6: Final answer
    x = 6,554.63

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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.