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Finding the Fourth Proportional to 35,446.40, 53,166.60 and 10,822.40

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Solution

The fourth proportional to 35,446.40, 53,166.60 and 10,822.40 is: 16,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,446.40 : 53,166.60 = 10,822.40 : x
  2. Step 2: Convert to fraction form
    35,446.40/53,166.60 = 10,822.40/x
  3. Step 3: Cross multiply
    35,446.40x = 53,166.60 × 10,822.40
  4. Step 4: Simplify right side
    35,446.40x = 575,390,211.84
  5. Step 5: Solve for x
    x = 575,390,211.84/35,446.40
  6. Step 6: Final answer
    x = 16,232.68

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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.