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Finding the Fourth Proportional to 9,563.80, 14,345.70 and 8,411.80

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Solution

The fourth proportional to 9,563.80, 14,345.70 and 8,411.80 is: 12,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.80 : 14,345.70 = 8,411.80 : x
  2. Step 2: Convert to fraction form
    9,563.80/14,345.70 = 8,411.80/x
  3. Step 3: Cross multiply
    9,563.80x = 14,345.70 × 8,411.80
  4. Step 4: Simplify right side
    9,563.80x = 120,673,159.26
  5. Step 5: Solve for x
    x = 120,673,159.26/9,563.80
  6. Step 6: Final answer
    x = 12,617.70

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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.