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Finding the Fourth Proportional to 6,409.04, 9,607.88 and 3,287.32

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Solution

The fourth proportional to 6,409.04, 9,607.88 and 3,287.32 is: 4,928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.04 : 9,607.88 = 3,287.32 : x
  2. Step 2: Convert to fraction form
    6,409.04/9,607.88 = 3,287.32/x
  3. Step 3: Cross multiply
    6,409.04x = 9,607.88 × 3,287.32
  4. Step 4: Simplify right side
    6,409.04x = 31,584,176.08
  5. Step 5: Solve for x
    x = 31,584,176.08/6,409.04
  6. Step 6: Final answer
    x = 4,928.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.