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Finding the Fourth Proportional to 4,973.91, 7,460.40 and 1,686.84

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Solution

The fourth proportional to 4,973.91, 7,460.40 and 1,686.84 is: 2,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.91 : 7,460.40 = 1,686.84 : x
  2. Step 2: Convert to fraction form
    4,973.91/7,460.40 = 1,686.84/x
  3. Step 3: Cross multiply
    4,973.91x = 7,460.40 × 1,686.84
  4. Step 4: Simplify right side
    4,973.91x = 12,584,501.14
  5. Step 5: Solve for x
    x = 12,584,501.14/4,973.91
  6. Step 6: Final answer
    x = 2,530.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.