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Finding the Fourth Proportional to 26,160, 39,240 and 6,704

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Solution

The fourth proportional to 26,160, 39,240 and 6,704 is: 10,056

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,160 : 39,240 = 6,704 : x
  2. Step 2: Convert to fraction form
    26,160/39,240 = 6,704/x
  3. Step 3: Cross multiply
    26,160x = 39,240 × 6,704
  4. Step 4: Simplify right side
    26,160x = 263,064,960
  5. Step 5: Solve for x
    x = 263,064,960/26,160
  6. Step 6: Final answer
    x = 10,056

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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.