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Finding the Fourth Proportional to 4,906.76, 7,360.14 and 1,985.08

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Solution

The fourth proportional to 4,906.76, 7,360.14 and 1,985.08 is: 2,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.76 : 7,360.14 = 1,985.08 : x
  2. Step 2: Convert to fraction form
    4,906.76/7,360.14 = 1,985.08/x
  3. Step 3: Cross multiply
    4,906.76x = 7,360.14 × 1,985.08
  4. Step 4: Simplify right side
    4,906.76x = 14,610,466.71
  5. Step 5: Solve for x
    x = 14,610,466.71/4,906.76
  6. Step 6: Final answer
    x = 2,977.62

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1.5x scale

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.