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Finding the Fourth Proportional to 6,907.68, 9,533.85 and 4,074.90

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Solution

The fourth proportional to 6,907.68, 9,533.85 and 4,074.90 is: 5,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.68 : 9,533.85 = 4,074.90 : x
  2. Step 2: Convert to fraction form
    6,907.68/9,533.85 = 4,074.90/x
  3. Step 3: Cross multiply
    6,907.68x = 9,533.85 × 4,074.90
  4. Step 4: Simplify right side
    6,907.68x = 38,849,485.37
  5. Step 5: Solve for x
    x = 38,849,485.37/6,907.68
  6. Step 6: Final answer
    x = 5,624.10

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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.