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Finding the Fourth Proportional to 14,062.76, 19,407 and 7,775.54

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Solution

The fourth proportional to 14,062.76, 19,407 and 7,775.54 is: 10,730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,062.76 : 19,407 = 7,775.54 : x
  2. Step 2: Convert to fraction form
    14,062.76/19,407 = 7,775.54/x
  3. Step 3: Cross multiply
    14,062.76x = 19,407 × 7,775.54
  4. Step 4: Simplify right side
    14,062.76x = 150,899,904.78
  5. Step 5: Solve for x
    x = 150,899,904.78/14,062.76
  6. Step 6: Final answer
    x = 10,730.46

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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.