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Finding the Fourth Proportional to 6,971.00, 10,447.36 and 6,042.74

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Solution

The fourth proportional to 6,971.00, 10,447.36 and 6,042.74 is: 9,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.00 : 10,447.36 = 6,042.74 : x
  2. Step 2: Convert to fraction form
    6,971.00/10,447.36 = 6,042.74/x
  3. Step 3: Cross multiply
    6,971.00x = 10,447.36 × 6,042.74
  4. Step 4: Simplify right side
    6,971.00x = 63,130,612.82
  5. Step 5: Solve for x
    x = 63,130,612.82/6,971.00
  6. Step 6: Final answer
    x = 9,056.18

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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.