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Finding the Fourth Proportional to 6,784.34, 9,362.48 and 4,425.12

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Solution

The fourth proportional to 6,784.34, 9,362.48 and 4,425.12 is: 6,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.34 : 9,362.48 = 4,425.12 : x
  2. Step 2: Convert to fraction form
    6,784.34/9,362.48 = 4,425.12/x
  3. Step 3: Cross multiply
    6,784.34x = 9,362.48 × 4,425.12
  4. Step 4: Simplify right side
    6,784.34x = 41,430,075.37
  5. Step 5: Solve for x
    x = 41,430,075.37/6,784.34
  6. Step 6: Final answer
    x = 6,106.73

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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.