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Finding the Fourth Proportional to 8,643.48, 11,929.50 and 5,106.84

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Solution

The fourth proportional to 8,643.48, 11,929.50 and 5,106.84 is: 7,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.48 : 11,929.50 = 5,106.84 : x
  2. Step 2: Convert to fraction form
    8,643.48/11,929.50 = 5,106.84/x
  3. Step 3: Cross multiply
    8,643.48x = 11,929.50 × 5,106.84
  4. Step 4: Simplify right side
    8,643.48x = 60,922,047.78
  5. Step 5: Solve for x
    x = 60,922,047.78/8,643.48
  6. Step 6: Final answer
    x = 7,048.32

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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.