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Finding the Fourth Proportional to 10,646.64, 14,692.64 and 5,930.82

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Solution

The fourth proportional to 10,646.64, 14,692.64 and 5,930.82 is: 8,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.64 : 14,692.64 = 5,930.82 : x
  2. Step 2: Convert to fraction form
    10,646.64/14,692.64 = 5,930.82/x
  3. Step 3: Cross multiply
    10,646.64x = 14,692.64 × 5,930.82
  4. Step 4: Simplify right side
    10,646.64x = 87,139,373.51
  5. Step 5: Solve for x
    x = 87,139,373.51/10,646.64
  6. Step 6: Final answer
    x = 8,184.68

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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.