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Finding the Fourth Proportional to 6,646.12, 9,973.10 and 2,429

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Solution

The fourth proportional to 6,646.12, 9,973.10 and 2,429 is: 3,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.12 : 9,973.10 = 2,429 : x
  2. Step 2: Convert to fraction form
    6,646.12/9,973.10 = 2,429/x
  3. Step 3: Cross multiply
    6,646.12x = 9,973.10 × 2,429
  4. Step 4: Simplify right side
    6,646.12x = 24,224,659.90
  5. Step 5: Solve for x
    x = 24,224,659.90/6,646.12
  6. Step 6: Final answer
    x = 3,644.93

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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.