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Finding the Fourth Proportional to 10,730.37, 14,807.88 and 6,014.64

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Solution

The fourth proportional to 10,730.37, 14,807.88 and 6,014.64 is: 8,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.37 : 14,807.88 = 6,014.64 : x
  2. Step 2: Convert to fraction form
    10,730.37/14,807.88 = 6,014.64/x
  3. Step 3: Cross multiply
    10,730.37x = 14,807.88 × 6,014.64
  4. Step 4: Simplify right side
    10,730.37x = 89,064,067.36
  5. Step 5: Solve for x
    x = 89,064,067.36/10,730.37
  6. Step 6: Final answer
    x = 8,300.19

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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.