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Finding the Fourth Proportional to 14,494.86, 19,994.06 and 9,583.46

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Solution

The fourth proportional to 14,494.86, 19,994.06 and 9,583.46 is: 13,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.86 : 19,994.06 = 9,583.46 : x
  2. Step 2: Convert to fraction form
    14,494.86/19,994.06 = 9,583.46/x
  3. Step 3: Cross multiply
    14,494.86x = 19,994.06 × 9,583.46
  4. Step 4: Simplify right side
    14,494.86x = 191,612,373.18
  5. Step 5: Solve for x
    x = 191,612,373.18/14,494.86
  6. Step 6: Final answer
    x = 13,219.33

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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.