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Finding the Fourth Proportional to 10,497.74, 15,746.40 and 4,953.69

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Solution

The fourth proportional to 10,497.74, 15,746.40 and 4,953.69 is: 7,430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.74 : 15,746.40 = 4,953.69 : x
  2. Step 2: Convert to fraction form
    10,497.74/15,746.40 = 4,953.69/x
  3. Step 3: Cross multiply
    10,497.74x = 15,746.40 × 4,953.69
  4. Step 4: Simplify right side
    10,497.74x = 78,002,784.22
  5. Step 5: Solve for x
    x = 78,002,784.22/10,497.74
  6. Step 6: Final answer
    x = 7,430.44

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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.