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Finding the Fourth Proportional to 7,106.68, 9,807.06 and 3,962.80

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Solution

The fourth proportional to 7,106.68, 9,807.06 and 3,962.80 is: 5,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.68 : 9,807.06 = 3,962.80 : x
  2. Step 2: Convert to fraction form
    7,106.68/9,807.06 = 3,962.80/x
  3. Step 3: Cross multiply
    7,106.68x = 9,807.06 × 3,962.80
  4. Step 4: Simplify right side
    7,106.68x = 38,863,417.37
  5. Step 5: Solve for x
    x = 38,863,417.37/7,106.68
  6. Step 6: Final answer
    x = 5,468.58

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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.