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Finding the Fourth Proportional to 10,746, 14,832.04 and 6,557.76

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Solution

The fourth proportional to 10,746, 14,832.04 and 6,557.76 is: 9,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746 : 14,832.04 = 6,557.76 : x
  2. Step 2: Convert to fraction form
    10,746/14,832.04 = 6,557.76/x
  3. Step 3: Cross multiply
    10,746x = 14,832.04 × 6,557.76
  4. Step 4: Simplify right side
    10,746x = 97,264,958.63
  5. Step 5: Solve for x
    x = 97,264,958.63/10,746
  6. Step 6: Final answer
    x = 9,051.27

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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.