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Finding the Fourth Proportional to 9,386.72, 12,959.70 and 6,031

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Solution

The fourth proportional to 9,386.72, 12,959.70 and 6,031 is: 8,326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.72 : 12,959.70 = 6,031 : x
  2. Step 2: Convert to fraction form
    9,386.72/12,959.70 = 6,031/x
  3. Step 3: Cross multiply
    9,386.72x = 12,959.70 × 6,031
  4. Step 4: Simplify right side
    9,386.72x = 78,159,950.70
  5. Step 5: Solve for x
    x = 78,159,950.70/9,386.72
  6. Step 6: Final answer
    x = 8,326.65

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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.