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Finding the Fourth Proportional to 9,681.86, 14,526.03 and 3,840.14

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Solution

The fourth proportional to 9,681.86, 14,526.03 and 3,840.14 is: 5,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.86 : 14,526.03 = 3,840.14 : x
  2. Step 2: Convert to fraction form
    9,681.86/14,526.03 = 3,840.14/x
  3. Step 3: Cross multiply
    9,681.86x = 14,526.03 × 3,840.14
  4. Step 4: Simplify right side
    9,681.86x = 55,781,988.84
  5. Step 5: Solve for x
    x = 55,781,988.84/9,681.86
  6. Step 6: Final answer
    x = 5,761.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.