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Finding the Fourth Proportional to 12,570.93, 17,340.48 and 7,847.01

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Solution

The fourth proportional to 12,570.93, 17,340.48 and 7,847.01 is: 10,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.93 : 17,340.48 = 7,847.01 : x
  2. Step 2: Convert to fraction form
    12,570.93/17,340.48 = 7,847.01/x
  3. Step 3: Cross multiply
    12,570.93x = 17,340.48 × 7,847.01
  4. Step 4: Simplify right side
    12,570.93x = 136,070,919.96
  5. Step 5: Solve for x
    x = 136,070,919.96/12,570.93
  6. Step 6: Final answer
    x = 10,824.25

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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.