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Finding the Fourth Proportional to 9,698.50, 14,547.75 and 2,773

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Solution

The fourth proportional to 9,698.50, 14,547.75 and 2,773 is: 4,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.50 : 14,547.75 = 2,773 : x
  2. Step 2: Convert to fraction form
    9,698.50/14,547.75 = 2,773/x
  3. Step 3: Cross multiply
    9,698.50x = 14,547.75 × 2,773
  4. Step 4: Simplify right side
    9,698.50x = 40,340,910.75
  5. Step 5: Solve for x
    x = 40,340,910.75/9,698.50
  6. Step 6: Final answer
    x = 4,159.50

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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.