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Finding the Fourth Proportional to 9,297.63, 13,950 and 5,602.50

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Solution

The fourth proportional to 9,297.63, 13,950 and 5,602.50 is: 8,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.63 : 13,950 = 5,602.50 : x
  2. Step 2: Convert to fraction form
    9,297.63/13,950 = 5,602.50/x
  3. Step 3: Cross multiply
    9,297.63x = 13,950 × 5,602.50
  4. Step 4: Simplify right side
    9,297.63x = 78,154,875
  5. Step 5: Solve for x
    x = 78,154,875/9,297.63
  6. Step 6: Final answer
    x = 8,405.89

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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.