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Finding the Fourth Proportional to 10,494.55, 14,477.91 and 6,017.28

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Solution

The fourth proportional to 10,494.55, 14,477.91 and 6,017.28 is: 8,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.55 : 14,477.91 = 6,017.28 : x
  2. Step 2: Convert to fraction form
    10,494.55/14,477.91 = 6,017.28/x
  3. Step 3: Cross multiply
    10,494.55x = 14,477.91 × 6,017.28
  4. Step 4: Simplify right side
    10,494.55x = 87,117,638.28
  5. Step 5: Solve for x
    x = 87,117,638.28/10,494.55
  6. Step 6: Final answer
    x = 8,301.23

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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.