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Finding the Fourth Proportional to 8,902.84, 12,285.60 and 5,127.22

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Solution

The fourth proportional to 8,902.84, 12,285.60 and 5,127.22 is: 7,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.84 : 12,285.60 = 5,127.22 : x
  2. Step 2: Convert to fraction form
    8,902.84/12,285.60 = 5,127.22/x
  3. Step 3: Cross multiply
    8,902.84x = 12,285.60 × 5,127.22
  4. Step 4: Simplify right side
    8,902.84x = 62,990,974.03
  5. Step 5: Solve for x
    x = 62,990,974.03/8,902.84
  6. Step 6: Final answer
    x = 7,075.38

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Double scale
Find fourth proportional to 8,903.84, 12,286.98 and 5,128.22
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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.