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Finding the Fourth Proportional to 10,605.58, 14,667.41 and 9,276.98

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Solution

The fourth proportional to 10,605.58, 14,667.41 and 9,276.98 is: 12,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.58 : 14,667.41 = 9,276.98 : x
  2. Step 2: Convert to fraction form
    10,605.58/14,667.41 = 9,276.98/x
  3. Step 3: Cross multiply
    10,605.58x = 14,667.41 × 9,276.98
  4. Step 4: Simplify right side
    10,605.58x = 136,069,219.08
  5. Step 5: Solve for x
    x = 136,069,219.08/10,605.58
  6. Step 6: Final answer
    x = 12,829.97

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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.