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Finding the Fourth Proportional to 6,510.68, 9,749.33 and 4,506.59

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Solution

The fourth proportional to 6,510.68, 9,749.33 and 4,506.59 is: 6,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.68 : 9,749.33 = 4,506.59 : x
  2. Step 2: Convert to fraction form
    6,510.68/9,749.33 = 4,506.59/x
  3. Step 3: Cross multiply
    6,510.68x = 9,749.33 × 4,506.59
  4. Step 4: Simplify right side
    6,510.68x = 43,936,237.08
  5. Step 5: Solve for x
    x = 43,936,237.08/6,510.68
  6. Step 6: Final answer
    x = 6,748.34

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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.