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Finding the Fourth Proportional to 35,762.40, 53,643.60 and 9,469.80

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Solution

The fourth proportional to 35,762.40, 53,643.60 and 9,469.80 is: 14,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762.40 : 53,643.60 = 9,469.80 : x
  2. Step 2: Convert to fraction form
    35,762.40/53,643.60 = 9,469.80/x
  3. Step 3: Cross multiply
    35,762.40x = 53,643.60 × 9,469.80
  4. Step 4: Simplify right side
    35,762.40x = 507,994,163.28
  5. Step 5: Solve for x
    x = 507,994,163.28/35,762.40
  6. Step 6: Final answer
    x = 14,204.70

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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.