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Finding the Fourth Proportional to 7,836.94, 10,814.95 and 4,300.21

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Solution

The fourth proportional to 7,836.94, 10,814.95 and 4,300.21 is: 5,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.94 : 10,814.95 = 4,300.21 : x
  2. Step 2: Convert to fraction form
    7,836.94/10,814.95 = 4,300.21/x
  3. Step 3: Cross multiply
    7,836.94x = 10,814.95 × 4,300.21
  4. Step 4: Simplify right side
    7,836.94x = 46,506,556.14
  5. Step 5: Solve for x
    x = 46,506,556.14/7,836.94
  6. Step 6: Final answer
    x = 5,934.27

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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.