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Finding the Fourth Proportional to 11,746.01, 16,210.25 and 7,760.13

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Solution

The fourth proportional to 11,746.01, 16,210.25 and 7,760.13 is: 10,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.01 : 16,210.25 = 7,760.13 : x
  2. Step 2: Convert to fraction form
    11,746.01/16,210.25 = 7,760.13/x
  3. Step 3: Cross multiply
    11,746.01x = 16,210.25 × 7,760.13
  4. Step 4: Simplify right side
    11,746.01x = 125,793,608.53
  5. Step 5: Solve for x
    x = 125,793,608.53/11,746.01
  6. Step 6: Final answer
    x = 10,709.48

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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.