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Finding the Fourth Proportional to 10,493.48, 14,482.10 and 6,016.34

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Solution

The fourth proportional to 10,493.48, 14,482.10 and 6,016.34 is: 8,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.48 : 14,482.10 = 6,016.34 : x
  2. Step 2: Convert to fraction form
    10,493.48/14,482.10 = 6,016.34/x
  3. Step 3: Cross multiply
    10,493.48x = 14,482.10 × 6,016.34
  4. Step 4: Simplify right side
    10,493.48x = 87,129,180.14
  5. Step 5: Solve for x
    x = 87,129,180.14/10,493.48
  6. Step 6: Final answer
    x = 8,303.18

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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.