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Finding the Fourth Proportional to 11,769, 17,653.05 and 4,746.84

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Solution

The fourth proportional to 11,769, 17,653.05 and 4,746.84 is: 7,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769 : 17,653.05 = 4,746.84 : x
  2. Step 2: Convert to fraction form
    11,769/17,653.05 = 4,746.84/x
  3. Step 3: Cross multiply
    11,769x = 17,653.05 × 4,746.84
  4. Step 4: Simplify right side
    11,769x = 83,796,203.86
  5. Step 5: Solve for x
    x = 83,796,203.86/11,769
  6. Step 6: Final answer
    x = 7,120.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.