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Finding the Fourth Proportional to 9,854.34, 13,582.92 and 6,865

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Solution

The fourth proportional to 9,854.34, 13,582.92 and 6,865 is: 9,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.34 : 13,582.92 = 6,865 : x
  2. Step 2: Convert to fraction form
    9,854.34/13,582.92 = 6,865/x
  3. Step 3: Cross multiply
    9,854.34x = 13,582.92 × 6,865
  4. Step 4: Simplify right side
    9,854.34x = 93,246,745.80
  5. Step 5: Solve for x
    x = 93,246,745.80/9,854.34
  6. Step 6: Final answer
    x = 9,462.51

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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.