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Finding the Fourth Proportional to 6,281.04, 9,410.64 and 4,641.60

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Solution

The fourth proportional to 6,281.04, 9,410.64 and 4,641.60 is: 6,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.04 : 9,410.64 = 4,641.60 : x
  2. Step 2: Convert to fraction form
    6,281.04/9,410.64 = 4,641.60/x
  3. Step 3: Cross multiply
    6,281.04x = 9,410.64 × 4,641.60
  4. Step 4: Simplify right side
    6,281.04x = 43,680,426.62
  5. Step 5: Solve for x
    x = 43,680,426.62/6,281.04
  6. Step 6: Final answer
    x = 6,954.33

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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.