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Finding the Fourth Proportional to 10,496, 15,740.88 and 4,946.24

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Solution

The fourth proportional to 10,496, 15,740.88 and 4,946.24 is: 7,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496 : 15,740.88 = 4,946.24 : x
  2. Step 2: Convert to fraction form
    10,496/15,740.88 = 4,946.24/x
  3. Step 3: Cross multiply
    10,496x = 15,740.88 × 4,946.24
  4. Step 4: Simplify right side
    10,496x = 77,858,170.29
  5. Step 5: Solve for x
    x = 77,858,170.29/10,496
  6. Step 6: Final answer
    x = 7,417.89

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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.