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Finding the Fourth Proportional to 9,821.58, 14,633.04 and 9,325.86

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Solution

The fourth proportional to 9,821.58, 14,633.04 and 9,325.86 is: 13,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.58 : 14,633.04 = 9,325.86 : x
  2. Step 2: Convert to fraction form
    9,821.58/14,633.04 = 9,325.86/x
  3. Step 3: Cross multiply
    9,821.58x = 14,633.04 × 9,325.86
  4. Step 4: Simplify right side
    9,821.58x = 136,465,682.41
  5. Step 5: Solve for x
    x = 136,465,682.41/9,821.58
  6. Step 6: Final answer
    x = 13,894.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.