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Finding the Fourth Proportional to 14,232.63, 19,641.33 and 7,859.19

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Solution

The fourth proportional to 14,232.63, 19,641.33 and 7,859.19 is: 10,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.63 : 19,641.33 = 7,859.19 : x
  2. Step 2: Convert to fraction form
    14,232.63/19,641.33 = 7,859.19/x
  3. Step 3: Cross multiply
    14,232.63x = 19,641.33 × 7,859.19
  4. Step 4: Simplify right side
    14,232.63x = 154,364,944.32
  5. Step 5: Solve for x
    x = 154,364,944.32/14,232.63
  6. Step 6: Final answer
    x = 10,845.85

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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.