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Finding the Fourth Proportional to 9,967.23, 14,957.76 and 6,448.48

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Solution

The fourth proportional to 9,967.23, 14,957.76 and 6,448.48 is: 9,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.23 : 14,957.76 = 6,448.48 : x
  2. Step 2: Convert to fraction form
    9,967.23/14,957.76 = 6,448.48/x
  3. Step 3: Cross multiply
    9,967.23x = 14,957.76 × 6,448.48
  4. Step 4: Simplify right side
    9,967.23x = 96,454,816.20
  5. Step 5: Solve for x
    x = 96,454,816.20/9,967.23
  6. Step 6: Final answer
    x = 9,677.19

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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.