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Finding the Fourth Proportional to 9,862.50, 13,611.87 and 5,669.94

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Solution

The fourth proportional to 9,862.50, 13,611.87 and 5,669.94 is: 7,825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.50 : 13,611.87 = 5,669.94 : x
  2. Step 2: Convert to fraction form
    9,862.50/13,611.87 = 5,669.94/x
  3. Step 3: Cross multiply
    9,862.50x = 13,611.87 × 5,669.94
  4. Step 4: Simplify right side
    9,862.50x = 77,178,486.19
  5. Step 5: Solve for x
    x = 77,178,486.19/9,862.50
  6. Step 6: Final answer
    x = 7,825.45

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1.5x scale

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.