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Finding the Fourth Proportional to 9,695.26, 14,504.64 and 9,624.21

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Solution

The fourth proportional to 9,695.26, 14,504.64 and 9,624.21 is: 14,398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.26 : 14,504.64 = 9,624.21 : x
  2. Step 2: Convert to fraction form
    9,695.26/14,504.64 = 9,624.21/x
  3. Step 3: Cross multiply
    9,695.26x = 14,504.64 × 9,624.21
  4. Step 4: Simplify right side
    9,695.26x = 139,595,701.33
  5. Step 5: Solve for x
    x = 139,595,701.33/9,695.26
  6. Step 6: Final answer
    x = 14,398.35

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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.