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Finding the Fourth Proportional to 10,594.48, 14,616.14 and 6,817

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Solution

The fourth proportional to 10,594.48, 14,616.14 and 6,817 is: 9,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.48 : 14,616.14 = 6,817 : x
  2. Step 2: Convert to fraction form
    10,594.48/14,616.14 = 6,817/x
  3. Step 3: Cross multiply
    10,594.48x = 14,616.14 × 6,817
  4. Step 4: Simplify right side
    10,594.48x = 99,638,226.38
  5. Step 5: Solve for x
    x = 99,638,226.38/10,594.48
  6. Step 6: Final answer
    x = 9,404.73

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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.