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Finding the Fourth Proportional to 14,509, 21,763.74 and 6,301

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Solution

The fourth proportional to 14,509, 21,763.74 and 6,301 is: 9,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509 : 21,763.74 = 6,301 : x
  2. Step 2: Convert to fraction form
    14,509/21,763.74 = 6,301/x
  3. Step 3: Cross multiply
    14,509x = 21,763.74 × 6,301
  4. Step 4: Simplify right side
    14,509x = 137,133,325.74
  5. Step 5: Solve for x
    x = 137,133,325.74/14,509
  6. Step 6: Final answer
    x = 9,451.60

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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.