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Finding the Fourth Proportional to 10,496.46, 14,484.51 and 6,303.90

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Solution

The fourth proportional to 10,496.46, 14,484.51 and 6,303.90 is: 8,699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.46 : 14,484.51 = 6,303.90 : x
  2. Step 2: Convert to fraction form
    10,496.46/14,484.51 = 6,303.90/x
  3. Step 3: Cross multiply
    10,496.46x = 14,484.51 × 6,303.90
  4. Step 4: Simplify right side
    10,496.46x = 91,308,902.59
  5. Step 5: Solve for x
    x = 91,308,902.59/10,496.46
  6. Step 6: Final answer
    x = 8,699.02

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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.