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Finding the Fourth Proportional to 5,569.50, 8,363.76 and 4,946.16

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Solution

The fourth proportional to 5,569.50, 8,363.76 and 4,946.16 is: 7,427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.50 : 8,363.76 = 4,946.16 : x
  2. Step 2: Convert to fraction form
    5,569.50/8,363.76 = 4,946.16/x
  3. Step 3: Cross multiply
    5,569.50x = 8,363.76 × 4,946.16
  4. Step 4: Simplify right side
    5,569.50x = 41,368,495.16
  5. Step 5: Solve for x
    x = 41,368,495.16/5,569.50
  6. Step 6: Final answer
    x = 7,427.69

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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.