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Finding the Fourth Proportional to 10,495.95, 14,485.07 and 5,780.23

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Solution

The fourth proportional to 10,495.95, 14,485.07 and 5,780.23 is: 7,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.95 : 14,485.07 = 5,780.23 : x
  2. Step 2: Convert to fraction form
    10,495.95/14,485.07 = 5,780.23/x
  3. Step 3: Cross multiply
    10,495.95x = 14,485.07 × 5,780.23
  4. Step 4: Simplify right side
    10,495.95x = 83,727,095.88
  5. Step 5: Solve for x
    x = 83,727,095.88/10,495.95
  6. Step 6: Final answer
    x = 7,977.08

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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.