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Finding the Fourth Proportional to 10,805.95, 14,897.42 and 6,825.07

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Solution

The fourth proportional to 10,805.95, 14,897.42 and 6,825.07 is: 9,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.95 : 14,897.42 = 6,825.07 : x
  2. Step 2: Convert to fraction form
    10,805.95/14,897.42 = 6,825.07/x
  3. Step 3: Cross multiply
    10,805.95x = 14,897.42 × 6,825.07
  4. Step 4: Simplify right side
    10,805.95x = 101,675,900.19
  5. Step 5: Solve for x
    x = 101,675,900.19/10,805.95
  6. Step 6: Final answer
    x = 9,409.25

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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.