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Finding the Fourth Proportional to 10,495.95, 14,485.08 and 5,780.24

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Solution

The fourth proportional to 10,495.95, 14,485.08 and 5,780.24 is: 7,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.95 : 14,485.08 = 5,780.24 : x
  2. Step 2: Convert to fraction form
    10,495.95/14,485.08 = 5,780.24/x
  3. Step 3: Cross multiply
    10,495.95x = 14,485.08 × 5,780.24
  4. Step 4: Simplify right side
    10,495.95x = 83,727,166.39
  5. Step 5: Solve for x
    x = 83,727,166.39/10,495.95
  6. Step 6: Final answer
    x = 7,977.09

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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.