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Finding the Fourth Proportional to 11,370.32, 15,695.92 and 7,646.48

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Solution

The fourth proportional to 11,370.32, 15,695.92 and 7,646.48 is: 10,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,370.32 : 15,695.92 = 7,646.48 : x
  2. Step 2: Convert to fraction form
    11,370.32/15,695.92 = 7,646.48/x
  3. Step 3: Cross multiply
    11,370.32x = 15,695.92 × 7,646.48
  4. Step 4: Simplify right side
    11,370.32x = 120,018,538.36
  5. Step 5: Solve for x
    x = 120,018,538.36/11,370.32
  6. Step 6: Final answer
    x = 10,555.42

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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.