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Finding the Fourth Proportional to 9,567.90, 14,355.48 and 8,640.24

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Solution

The fourth proportional to 9,567.90, 14,355.48 and 8,640.24 is: 12,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.90 : 14,355.48 = 8,640.24 : x
  2. Step 2: Convert to fraction form
    9,567.90/14,355.48 = 8,640.24/x
  3. Step 3: Cross multiply
    9,567.90x = 14,355.48 × 8,640.24
  4. Step 4: Simplify right side
    9,567.90x = 124,034,792.52
  5. Step 5: Solve for x
    x = 124,034,792.52/9,567.90
  6. Step 6: Final answer
    x = 12,963.64

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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.