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Finding the Fourth Proportional to 10,066.84, 13,892 and 5,590.58

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Solution

The fourth proportional to 10,066.84, 13,892 and 5,590.58 is: 7,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.84 : 13,892 = 5,590.58 : x
  2. Step 2: Convert to fraction form
    10,066.84/13,892 = 5,590.58/x
  3. Step 3: Cross multiply
    10,066.84x = 13,892 × 5,590.58
  4. Step 4: Simplify right side
    10,066.84x = 77,664,337.36
  5. Step 5: Solve for x
    x = 77,664,337.36/10,066.84
  6. Step 6: Final answer
    x = 7,714.87

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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.