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Finding the Fourth Proportional to 4,984.94, 6,829.40 and 4,798.10

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Solution

The fourth proportional to 4,984.94, 6,829.40 and 4,798.10 is: 6,573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.94 : 6,829.40 = 4,798.10 : x
  2. Step 2: Convert to fraction form
    4,984.94/6,829.40 = 4,798.10/x
  3. Step 3: Cross multiply
    4,984.94x = 6,829.40 × 4,798.10
  4. Step 4: Simplify right side
    4,984.94x = 32,768,144.14
  5. Step 5: Solve for x
    x = 32,768,144.14/4,984.94
  6. Step 6: Final answer
    x = 6,573.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.