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Finding the Fourth Proportional to 6,781.04, 9,362.76 and 5,106.32

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Solution

The fourth proportional to 6,781.04, 9,362.76 and 5,106.32 is: 7,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.04 : 9,362.76 = 5,106.32 : x
  2. Step 2: Convert to fraction form
    6,781.04/9,362.76 = 5,106.32/x
  3. Step 3: Cross multiply
    6,781.04x = 9,362.76 × 5,106.32
  4. Step 4: Simplify right side
    6,781.04x = 47,809,248.64
  5. Step 5: Solve for x
    x = 47,809,248.64/6,781.04
  6. Step 6: Final answer
    x = 7,050.43

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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.