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Finding the Fourth Proportional to 10,011.16, 13,818.48 and 7,027.72

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Solution

The fourth proportional to 10,011.16, 13,818.48 and 7,027.72 is: 9,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.16 : 13,818.48 = 7,027.72 : x
  2. Step 2: Convert to fraction form
    10,011.16/13,818.48 = 7,027.72/x
  3. Step 3: Cross multiply
    10,011.16x = 13,818.48 × 7,027.72
  4. Step 4: Simplify right side
    10,011.16x = 97,112,408.27
  5. Step 5: Solve for x
    x = 97,112,408.27/10,011.16
  6. Step 6: Final answer
    x = 9,700.42

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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.