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Finding the Fourth Proportional to 15,701.16, 23,551.74 and 6,945

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Solution

The fourth proportional to 15,701.16, 23,551.74 and 6,945 is: 10,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,701.16 : 23,551.74 = 6,945 : x
  2. Step 2: Convert to fraction form
    15,701.16/23,551.74 = 6,945/x
  3. Step 3: Cross multiply
    15,701.16x = 23,551.74 × 6,945
  4. Step 4: Simplify right side
    15,701.16x = 163,566,834.30
  5. Step 5: Solve for x
    x = 163,566,834.30/15,701.16
  6. Step 6: Final answer
    x = 10,417.50

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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.