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Finding the Fourth Proportional to 9,953.59, 14,933.12 and 7,880.50

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Solution

The fourth proportional to 9,953.59, 14,933.12 and 7,880.50 is: 11,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.59 : 14,933.12 = 7,880.50 : x
  2. Step 2: Convert to fraction form
    9,953.59/14,933.12 = 7,880.50/x
  3. Step 3: Cross multiply
    9,953.59x = 14,933.12 × 7,880.50
  4. Step 4: Simplify right side
    9,953.59x = 117,680,412.76
  5. Step 5: Solve for x
    x = 117,680,412.76/9,953.59
  6. Step 6: Final answer
    x = 11,822.91

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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.