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Finding the Fourth Proportional to 7,632.40, 10,533.99 and 4,649.40

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Solution

The fourth proportional to 7,632.40, 10,533.99 and 4,649.40 is: 6,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.40 : 10,533.99 = 4,649.40 : x
  2. Step 2: Convert to fraction form
    7,632.40/10,533.99 = 4,649.40/x
  3. Step 3: Cross multiply
    7,632.40x = 10,533.99 × 4,649.40
  4. Step 4: Simplify right side
    7,632.40x = 48,976,733.11
  5. Step 5: Solve for x
    x = 48,976,733.11/7,632.40
  6. Step 6: Final answer
    x = 6,416.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.