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Finding the Fourth Proportional to 8,665.47, 13,009.14 and 4,971.06

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Solution

The fourth proportional to 8,665.47, 13,009.14 and 4,971.06 is: 7,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.47 : 13,009.14 = 4,971.06 : x
  2. Step 2: Convert to fraction form
    8,665.47/13,009.14 = 4,971.06/x
  3. Step 3: Cross multiply
    8,665.47x = 13,009.14 × 4,971.06
  4. Step 4: Simplify right side
    8,665.47x = 64,669,215.49
  5. Step 5: Solve for x
    x = 64,669,215.49/8,665.47
  6. Step 6: Final answer
    x = 7,462.86

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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.