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Finding the Fourth Proportional to 9,695.88, 14,543.76 and 5,801.40

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Solution

The fourth proportional to 9,695.88, 14,543.76 and 5,801.40 is: 8,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.88 : 14,543.76 = 5,801.40 : x
  2. Step 2: Convert to fraction form
    9,695.88/14,543.76 = 5,801.40/x
  3. Step 3: Cross multiply
    9,695.88x = 14,543.76 × 5,801.40
  4. Step 4: Simplify right side
    9,695.88x = 84,374,169.26
  5. Step 5: Solve for x
    x = 84,374,169.26/9,695.88
  6. Step 6: Final answer
    x = 8,702.06

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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.