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Finding the Fourth Proportional to 11,533.66, 15,917.64 and 7,060.38

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Solution

The fourth proportional to 11,533.66, 15,917.64 and 7,060.38 is: 9,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.66 : 15,917.64 = 7,060.38 : x
  2. Step 2: Convert to fraction form
    11,533.66/15,917.64 = 7,060.38/x
  3. Step 3: Cross multiply
    11,533.66x = 15,917.64 × 7,060.38
  4. Step 4: Simplify right side
    11,533.66x = 112,384,587.10
  5. Step 5: Solve for x
    x = 112,384,587.10/11,533.66
  6. Step 6: Final answer
    x = 9,744.05

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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.