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Finding the Fourth Proportional to 10,374.57, 14,316.75 and 5,658.75

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Solution

The fourth proportional to 10,374.57, 14,316.75 and 5,658.75 is: 7,808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.57 : 14,316.75 = 5,658.75 : x
  2. Step 2: Convert to fraction form
    10,374.57/14,316.75 = 5,658.75/x
  3. Step 3: Cross multiply
    10,374.57x = 14,316.75 × 5,658.75
  4. Step 4: Simplify right side
    10,374.57x = 81,014,909.06
  5. Step 5: Solve for x
    x = 81,014,909.06/10,374.57
  6. Step 6: Final answer
    x = 7,808.99

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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.