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Finding the Fourth Proportional to 9,985.19, 13,775.20 and 6,004.01

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Solution

The fourth proportional to 9,985.19, 13,775.20 and 6,004.01 is: 8,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.19 : 13,775.20 = 6,004.01 : x
  2. Step 2: Convert to fraction form
    9,985.19/13,775.20 = 6,004.01/x
  3. Step 3: Cross multiply
    9,985.19x = 13,775.20 × 6,004.01
  4. Step 4: Simplify right side
    9,985.19x = 82,706,457.98
  5. Step 5: Solve for x
    x = 82,706,457.98/9,985.19
  6. Step 6: Final answer
    x = 8,282.92

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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.