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Finding the Fourth Proportional to 10,531.96, 14,534.10 and 5,816.20

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Solution

The fourth proportional to 10,531.96, 14,534.10 and 5,816.20 is: 8,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.96 : 14,534.10 = 5,816.20 : x
  2. Step 2: Convert to fraction form
    10,531.96/14,534.10 = 5,816.20/x
  3. Step 3: Cross multiply
    10,531.96x = 14,534.10 × 5,816.20
  4. Step 4: Simplify right side
    10,531.96x = 84,533,232.42
  5. Step 5: Solve for x
    x = 84,533,232.42/10,531.96
  6. Step 6: Final answer
    x = 8,026.35

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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.