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Finding the Fourth Proportional to 6,299.02, 9,486.01 and 5,487.10

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Solution

The fourth proportional to 6,299.02, 9,486.01 and 5,487.10 is: 8,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.02 : 9,486.01 = 5,487.10 : x
  2. Step 2: Convert to fraction form
    6,299.02/9,486.01 = 5,487.10/x
  3. Step 3: Cross multiply
    6,299.02x = 9,486.01 × 5,487.10
  4. Step 4: Simplify right side
    6,299.02x = 52,050,685.47
  5. Step 5: Solve for x
    x = 52,050,685.47/6,299.02
  6. Step 6: Final answer
    x = 8,263.30

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.