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Finding the Fourth Proportional to 9,705, 14,557.50 and 2,409

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Solution

The fourth proportional to 9,705, 14,557.50 and 2,409 is: 3,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705 : 14,557.50 = 2,409 : x
  2. Step 2: Convert to fraction form
    9,705/14,557.50 = 2,409/x
  3. Step 3: Cross multiply
    9,705x = 14,557.50 × 2,409
  4. Step 4: Simplify right side
    9,705x = 35,069,017.50
  5. Step 5: Solve for x
    x = 35,069,017.50/9,705
  6. Step 6: Final answer
    x = 3,613.50

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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.