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Finding the Fourth Proportional to 10,458.61, 14,431.98 and 5,981.64

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Solution

The fourth proportional to 10,458.61, 14,431.98 and 5,981.64 is: 8,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.61 : 14,431.98 = 5,981.64 : x
  2. Step 2: Convert to fraction form
    10,458.61/14,431.98 = 5,981.64/x
  3. Step 3: Cross multiply
    10,458.61x = 14,431.98 × 5,981.64
  4. Step 4: Simplify right side
    10,458.61x = 86,326,908.85
  5. Step 5: Solve for x
    x = 86,326,908.85/10,458.61
  6. Step 6: Final answer
    x = 8,254.15

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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.