Home / 10,746.74-14,830.42-6,031

Finding the Fourth Proportional to 10,746.74, 14,830.42 and 6,031

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Solution

The fourth proportional to 10,746.74, 14,830.42 and 6,031 is: 8,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746.74 : 14,830.42 = 6,031 : x
  2. Step 2: Convert to fraction form
    10,746.74/14,830.42 = 6,031/x
  3. Step 3: Cross multiply
    10,746.74x = 14,830.42 × 6,031
  4. Step 4: Simplify right side
    10,746.74x = 89,442,263.02
  5. Step 5: Solve for x
    x = 89,442,263.02/10,746.74
  6. Step 6: Final answer
    x = 8,322.73

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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.