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Finding the Fourth Proportional to 15,160, 20,921.43 and 8,445.63

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Solution

The fourth proportional to 15,160, 20,921.43 and 8,445.63 is: 11,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,160 : 20,921.43 = 8,445.63 : x
  2. Step 2: Convert to fraction form
    15,160/20,921.43 = 8,445.63/x
  3. Step 3: Cross multiply
    15,160x = 20,921.43 × 8,445.63
  4. Step 4: Simplify right side
    15,160x = 176,694,656.85
  5. Step 5: Solve for x
    x = 176,694,656.85/15,160
  6. Step 6: Final answer
    x = 11,655.32

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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.