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Finding the Fourth Proportional to 9,724.17, 14,597.82 and 9,328.08

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Solution

The fourth proportional to 9,724.17, 14,597.82 and 9,328.08 is: 14,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.17 : 14,597.82 = 9,328.08 : x
  2. Step 2: Convert to fraction form
    9,724.17/14,597.82 = 9,328.08/x
  3. Step 3: Cross multiply
    9,724.17x = 14,597.82 × 9,328.08
  4. Step 4: Simplify right side
    9,724.17x = 136,169,632.79
  5. Step 5: Solve for x
    x = 136,169,632.79/9,724.17
  6. Step 6: Final answer
    x = 14,003.21

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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.