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Finding the Fourth Proportional to 10,603.50, 14,646.62 and 8,070.24

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Solution

The fourth proportional to 10,603.50, 14,646.62 and 8,070.24 is: 11,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.50 : 14,646.62 = 8,070.24 : x
  2. Step 2: Convert to fraction form
    10,603.50/14,646.62 = 8,070.24/x
  3. Step 3: Cross multiply
    10,603.50x = 14,646.62 × 8,070.24
  4. Step 4: Simplify right side
    10,603.50x = 118,201,738.59
  5. Step 5: Solve for x
    x = 118,201,738.59/10,603.50
  6. Step 6: Final answer
    x = 11,147.43

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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.