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Finding the Fourth Proportional to 11,573.70, 15,971.72 and 6,537.93

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Solution

The fourth proportional to 11,573.70, 15,971.72 and 6,537.93 is: 9,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.70 : 15,971.72 = 6,537.93 : x
  2. Step 2: Convert to fraction form
    11,573.70/15,971.72 = 6,537.93/x
  3. Step 3: Cross multiply
    11,573.70x = 15,971.72 × 6,537.93
  4. Step 4: Simplify right side
    11,573.70x = 104,421,954.65
  5. Step 5: Solve for x
    x = 104,421,954.65/11,573.70
  6. Step 6: Final answer
    x = 9,022.35

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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.