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Finding the Fourth Proportional to 10,681.84, 16,004.94 and 9,457.12

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Solution

The fourth proportional to 10,681.84, 16,004.94 and 9,457.12 is: 14,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.84 : 16,004.94 = 9,457.12 : x
  2. Step 2: Convert to fraction form
    10,681.84/16,004.94 = 9,457.12/x
  3. Step 3: Cross multiply
    10,681.84x = 16,004.94 × 9,457.12
  4. Step 4: Simplify right side
    10,681.84x = 151,360,638.17
  5. Step 5: Solve for x
    x = 151,360,638.17/10,681.84
  6. Step 6: Final answer
    x = 14,169.90

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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.