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Finding the Fourth Proportional to 10,480, 14,465.64 and 6,754

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Solution

The fourth proportional to 10,480, 14,465.64 and 6,754 is: 9,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480 : 14,465.64 = 6,754 : x
  2. Step 2: Convert to fraction form
    10,480/14,465.64 = 6,754/x
  3. Step 3: Cross multiply
    10,480x = 14,465.64 × 6,754
  4. Step 4: Simplify right side
    10,480x = 97,700,932.56
  5. Step 5: Solve for x
    x = 97,700,932.56/10,480
  6. Step 6: Final answer
    x = 9,322.61

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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.