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Finding the Fourth Proportional to 6,762.31, 9,329.07 and 4,242.70

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Solution

The fourth proportional to 6,762.31, 9,329.07 and 4,242.70 is: 5,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.31 : 9,329.07 = 4,242.70 : x
  2. Step 2: Convert to fraction form
    6,762.31/9,329.07 = 4,242.70/x
  3. Step 3: Cross multiply
    6,762.31x = 9,329.07 × 4,242.70
  4. Step 4: Simplify right side
    6,762.31x = 39,580,445.29
  5. Step 5: Solve for x
    x = 39,580,445.29/6,762.31
  6. Step 6: Final answer
    x = 5,853.10

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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.