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Finding the Fourth Proportional to 10,810.02, 14,918.24 and 6,094.20

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Solution

The fourth proportional to 10,810.02, 14,918.24 and 6,094.20 is: 8,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.02 : 14,918.24 = 6,094.20 : x
  2. Step 2: Convert to fraction form
    10,810.02/14,918.24 = 6,094.20/x
  3. Step 3: Cross multiply
    10,810.02x = 14,918.24 × 6,094.20
  4. Step 4: Simplify right side
    10,810.02x = 90,914,738.21
  5. Step 5: Solve for x
    x = 90,914,738.21/10,810.02
  6. Step 6: Final answer
    x = 8,410.23

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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.