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Finding the Fourth Proportional to 13,954.32, 19,256.48 and 7,666.32

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Solution

The fourth proportional to 13,954.32, 19,256.48 and 7,666.32 is: 10,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.32 : 19,256.48 = 7,666.32 : x
  2. Step 2: Convert to fraction form
    13,954.32/19,256.48 = 7,666.32/x
  3. Step 3: Cross multiply
    13,954.32x = 19,256.48 × 7,666.32
  4. Step 4: Simplify right side
    13,954.32x = 147,626,337.75
  5. Step 5: Solve for x
    x = 147,626,337.75/13,954.32
  6. Step 6: Final answer
    x = 10,579.26

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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.