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Finding the Fourth Proportional to 10,230.16, 15,326.08 and 5,834.32

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Solution

The fourth proportional to 10,230.16, 15,326.08 and 5,834.32 is: 8,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.16 : 15,326.08 = 5,834.32 : x
  2. Step 2: Convert to fraction form
    10,230.16/15,326.08 = 5,834.32/x
  3. Step 3: Cross multiply
    10,230.16x = 15,326.08 × 5,834.32
  4. Step 4: Simplify right side
    10,230.16x = 89,417,255.07
  5. Step 5: Solve for x
    x = 89,417,255.07/10,230.16
  6. Step 6: Final answer
    x = 8,740.55

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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.