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Finding the Fourth Proportional to 9,773, 14,659.50 and 4,301

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Solution

The fourth proportional to 9,773, 14,659.50 and 4,301 is: 6,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773 : 14,659.50 = 4,301 : x
  2. Step 2: Convert to fraction form
    9,773/14,659.50 = 4,301/x
  3. Step 3: Cross multiply
    9,773x = 14,659.50 × 4,301
  4. Step 4: Simplify right side
    9,773x = 63,050,509.50
  5. Step 5: Solve for x
    x = 63,050,509.50/9,773
  6. Step 6: Final answer
    x = 6,451.50

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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.