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Finding the Fourth Proportional to 4,946.94, 7,420.23 and 1,484.10

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Solution

The fourth proportional to 4,946.94, 7,420.23 and 1,484.10 is: 2,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.94 : 7,420.23 = 1,484.10 : x
  2. Step 2: Convert to fraction form
    4,946.94/7,420.23 = 1,484.10/x
  3. Step 3: Cross multiply
    4,946.94x = 7,420.23 × 1,484.10
  4. Step 4: Simplify right side
    4,946.94x = 11,012,363.34
  5. Step 5: Solve for x
    x = 11,012,363.34/4,946.94
  6. Step 6: Final answer
    x = 2,226.10

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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.