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Finding the Fourth Proportional to 10,323.32, 15,484.98 and 4,163

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Solution

The fourth proportional to 10,323.32, 15,484.98 and 4,163 is: 6,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.32 : 15,484.98 = 4,163 : x
  2. Step 2: Convert to fraction form
    10,323.32/15,484.98 = 4,163/x
  3. Step 3: Cross multiply
    10,323.32x = 15,484.98 × 4,163
  4. Step 4: Simplify right side
    10,323.32x = 64,463,971.74
  5. Step 5: Solve for x
    x = 64,463,971.74/10,323.32
  6. Step 6: Final answer
    x = 6,244.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.