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Finding the Fourth Proportional to 6,277.60, 9,412.80 and 1,894.40

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Solution

The fourth proportional to 6,277.60, 9,412.80 and 1,894.40 is: 2,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.60 : 9,412.80 = 1,894.40 : x
  2. Step 2: Convert to fraction form
    6,277.60/9,412.80 = 1,894.40/x
  3. Step 3: Cross multiply
    6,277.60x = 9,412.80 × 1,894.40
  4. Step 4: Simplify right side
    6,277.60x = 17,831,608.32
  5. Step 5: Solve for x
    x = 17,831,608.32/6,277.60
  6. Step 6: Final answer
    x = 2,840.51

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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.