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Finding the Fourth Proportional to 35,646.48, 53,468 and 9,350.64

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Solution

The fourth proportional to 35,646.48, 53,468 and 9,350.64 is: 14,025.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,646.48 : 53,468 = 9,350.64 : x
  2. Step 2: Convert to fraction form
    35,646.48/53,468 = 9,350.64/x
  3. Step 3: Cross multiply
    35,646.48x = 53,468 × 9,350.64
  4. Step 4: Simplify right side
    35,646.48x = 499,960,019.52
  5. Step 5: Solve for x
    x = 499,960,019.52/35,646.48
  6. Step 6: Final answer
    x = 14,025.51

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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.