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Finding the Fourth Proportional to 19,447, 29,157.54 and 9,053.08

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Solution

The fourth proportional to 19,447, 29,157.54 and 9,053.08 is: 13,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,447 : 29,157.54 = 9,053.08 : x
  2. Step 2: Convert to fraction form
    19,447/29,157.54 = 9,053.08/x
  3. Step 3: Cross multiply
    19,447x = 29,157.54 × 9,053.08
  4. Step 4: Simplify right side
    19,447x = 263,965,542.22
  5. Step 5: Solve for x
    x = 263,965,542.22/19,447
  6. Step 6: Final answer
    x = 13,573.59

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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.