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Finding the Fourth Proportional to 12,960.60, 17,876.16 and 8,477.16

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Solution

The fourth proportional to 12,960.60, 17,876.16 and 8,477.16 is: 11,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.60 : 17,876.16 = 8,477.16 : x
  2. Step 2: Convert to fraction form
    12,960.60/17,876.16 = 8,477.16/x
  3. Step 3: Cross multiply
    12,960.60x = 17,876.16 × 8,477.16
  4. Step 4: Simplify right side
    12,960.60x = 151,539,068.51
  5. Step 5: Solve for x
    x = 151,539,068.51/12,960.60
  6. Step 6: Final answer
    x = 11,692.29

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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.