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Finding the Fourth Proportional to 10,599.29, 14,620.65 and 7,014.32

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Solution

The fourth proportional to 10,599.29, 14,620.65 and 7,014.32 is: 9,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.29 : 14,620.65 = 7,014.32 : x
  2. Step 2: Convert to fraction form
    10,599.29/14,620.65 = 7,014.32/x
  3. Step 3: Cross multiply
    10,599.29x = 14,620.65 × 7,014.32
  4. Step 4: Simplify right side
    10,599.29x = 102,553,917.71
  5. Step 5: Solve for x
    x = 102,553,917.71/10,599.29
  6. Step 6: Final answer
    x = 9,675.55

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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.