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Finding the Fourth Proportional to 6,907.34, 9,535.92 and 5,143.16

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Solution

The fourth proportional to 6,907.34, 9,535.92 and 5,143.16 is: 7,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.34 : 9,535.92 = 5,143.16 : x
  2. Step 2: Convert to fraction form
    6,907.34/9,535.92 = 5,143.16/x
  3. Step 3: Cross multiply
    6,907.34x = 9,535.92 × 5,143.16
  4. Step 4: Simplify right side
    6,907.34x = 49,044,762.31
  5. Step 5: Solve for x
    x = 49,044,762.31/6,907.34
  6. Step 6: Final answer
    x = 7,100.38

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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.