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Finding the Fourth Proportional to 7,033.12, 9,709.60 and 4,798.32

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Solution

The fourth proportional to 7,033.12, 9,709.60 and 4,798.32 is: 6,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.12 : 9,709.60 = 4,798.32 : x
  2. Step 2: Convert to fraction form
    7,033.12/9,709.60 = 4,798.32/x
  3. Step 3: Cross multiply
    7,033.12x = 9,709.60 × 4,798.32
  4. Step 4: Simplify right side
    7,033.12x = 46,589,767.87
  5. Step 5: Solve for x
    x = 46,589,767.87/7,033.12
  6. Step 6: Final answer
    x = 6,624.34

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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.