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Finding the Fourth Proportional to 10,497.54, 14,486.54 and 7,820.76

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Solution

The fourth proportional to 10,497.54, 14,486.54 and 7,820.76 is: 10,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.54 : 14,486.54 = 7,820.76 : x
  2. Step 2: Convert to fraction form
    10,497.54/14,486.54 = 7,820.76/x
  3. Step 3: Cross multiply
    10,497.54x = 14,486.54 × 7,820.76
  4. Step 4: Simplify right side
    10,497.54x = 113,295,713.47
  5. Step 5: Solve for x
    x = 113,295,713.47/10,497.54
  6. Step 6: Final answer
    x = 10,792.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.