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Finding the Fourth Proportional to 9,924, 14,893.02 and 4,730.28

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Solution

The fourth proportional to 9,924, 14,893.02 and 4,730.28 is: 7,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924 : 14,893.02 = 4,730.28 : x
  2. Step 2: Convert to fraction form
    9,924/14,893.02 = 4,730.28/x
  3. Step 3: Cross multiply
    9,924x = 14,893.02 × 4,730.28
  4. Step 4: Simplify right side
    9,924x = 70,448,154.65
  5. Step 5: Solve for x
    x = 70,448,154.65/9,924
  6. Step 6: Final answer
    x = 7,098.77

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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.