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Finding the Fourth Proportional to 12,774.93, 17,629.74 and 7,110.06

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Solution

The fourth proportional to 12,774.93, 17,629.74 and 7,110.06 is: 9,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.93 : 17,629.74 = 7,110.06 : x
  2. Step 2: Convert to fraction form
    12,774.93/17,629.74 = 7,110.06/x
  3. Step 3: Cross multiply
    12,774.93x = 17,629.74 × 7,110.06
  4. Step 4: Simplify right side
    12,774.93x = 125,348,509.18
  5. Step 5: Solve for x
    x = 125,348,509.18/12,774.93
  6. Step 6: Final answer
    x = 9,812.07

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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.