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Finding the Fourth Proportional to 35,894.86, 53,838.50 and 9,602.26

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Solution

The fourth proportional to 35,894.86, 53,838.50 and 9,602.26 is: 14,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.86 : 53,838.50 = 9,602.26 : x
  2. Step 2: Convert to fraction form
    35,894.86/53,838.50 = 9,602.26/x
  3. Step 3: Cross multiply
    35,894.86x = 53,838.50 × 9,602.26
  4. Step 4: Simplify right side
    35,894.86x = 516,971,275.01
  5. Step 5: Solve for x
    x = 516,971,275.01/35,894.86
  6. Step 6: Final answer
    x = 14,402.38

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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.