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Finding the Fourth Proportional to 6,505.46, 9,763.65 and 2,810.46

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Solution

The fourth proportional to 6,505.46, 9,763.65 and 2,810.46 is: 4,218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.46 : 9,763.65 = 2,810.46 : x
  2. Step 2: Convert to fraction form
    6,505.46/9,763.65 = 2,810.46/x
  3. Step 3: Cross multiply
    6,505.46x = 9,763.65 × 2,810.46
  4. Step 4: Simplify right side
    6,505.46x = 27,440,347.78
  5. Step 5: Solve for x
    x = 27,440,347.78/6,505.46
  6. Step 6: Final answer
    x = 4,218.05

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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.