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Finding the Fourth Proportional to 10,374.63, 14,317.11 and 5,658.99

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Solution

The fourth proportional to 10,374.63, 14,317.11 and 5,658.99 is: 7,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.63 : 14,317.11 = 5,658.99 : x
  2. Step 2: Convert to fraction form
    10,374.63/14,317.11 = 5,658.99/x
  3. Step 3: Cross multiply
    10,374.63x = 14,317.11 × 5,658.99
  4. Step 4: Simplify right side
    10,374.63x = 81,020,382.32
  5. Step 5: Solve for x
    x = 81,020,382.32/10,374.63
  6. Step 6: Final answer
    x = 7,809.47

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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.