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Finding the Fourth Proportional to 9,572.02, 14,358 and 2,646.50

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Solution

The fourth proportional to 9,572.02, 14,358 and 2,646.50 is: 3,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.02 : 14,358 = 2,646.50 : x
  2. Step 2: Convert to fraction form
    9,572.02/14,358 = 2,646.50/x
  3. Step 3: Cross multiply
    9,572.02x = 14,358 × 2,646.50
  4. Step 4: Simplify right side
    9,572.02x = 37,998,447
  5. Step 5: Solve for x
    x = 37,998,447/9,572.02
  6. Step 6: Final answer
    x = 3,969.74

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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.