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Finding the Fourth Proportional to 9,695.52, 14,550.48 and 6,407.28

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Solution

The fourth proportional to 9,695.52, 14,550.48 and 6,407.28 is: 9,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.52 : 14,550.48 = 6,407.28 : x
  2. Step 2: Convert to fraction form
    9,695.52/14,550.48 = 6,407.28/x
  3. Step 3: Cross multiply
    9,695.52x = 14,550.48 × 6,407.28
  4. Step 4: Simplify right side
    9,695.52x = 93,228,999.49
  5. Step 5: Solve for x
    x = 93,228,999.49/9,695.52
  6. Step 6: Final answer
    x = 9,615.68

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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.