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Finding the Fourth Proportional to 10,157.79, 14,018.04 and 5,682.06

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Solution

The fourth proportional to 10,157.79, 14,018.04 and 5,682.06 is: 7,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.79 : 14,018.04 = 5,682.06 : x
  2. Step 2: Convert to fraction form
    10,157.79/14,018.04 = 5,682.06/x
  3. Step 3: Cross multiply
    10,157.79x = 14,018.04 × 5,682.06
  4. Step 4: Simplify right side
    10,157.79x = 79,651,344.36
  5. Step 5: Solve for x
    x = 79,651,344.36/10,157.79
  6. Step 6: Final answer
    x = 7,841.40

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Half scale
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Double scale
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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.