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Finding the Fourth Proportional to 9,632.70, 14,420.70 and 7,178.40

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Solution

The fourth proportional to 9,632.70, 14,420.70 and 7,178.40 is: 10,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.70 : 14,420.70 = 7,178.40 : x
  2. Step 2: Convert to fraction form
    9,632.70/14,420.70 = 7,178.40/x
  3. Step 3: Cross multiply
    9,632.70x = 14,420.70 × 7,178.40
  4. Step 4: Simplify right side
    9,632.70x = 103,517,552.88
  5. Step 5: Solve for x
    x = 103,517,552.88/9,632.70
  6. Step 6: Final answer
    x = 10,746.47

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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.