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Finding the Fourth Proportional to 14,677.44, 21,970.08 and 7,730.88

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Solution

The fourth proportional to 14,677.44, 21,970.08 and 7,730.88 is: 11,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.44 : 21,970.08 = 7,730.88 : x
  2. Step 2: Convert to fraction form
    14,677.44/21,970.08 = 7,730.88/x
  3. Step 3: Cross multiply
    14,677.44x = 21,970.08 × 7,730.88
  4. Step 4: Simplify right side
    14,677.44x = 169,848,052.07
  5. Step 5: Solve for x
    x = 169,848,052.07/14,677.44
  6. Step 6: Final answer
    x = 11,572.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.