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Finding the Fourth Proportional to 35,823.60, 53,737.83 and 9,527.76

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Solution

The fourth proportional to 35,823.60, 53,737.83 and 9,527.76 is: 14,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,823.60 : 53,737.83 = 9,527.76 : x
  2. Step 2: Convert to fraction form
    35,823.60/53,737.83 = 9,527.76/x
  3. Step 3: Cross multiply
    35,823.60x = 53,737.83 × 9,527.76
  4. Step 4: Simplify right side
    35,823.60x = 512,001,147.16
  5. Step 5: Solve for x
    x = 512,001,147.16/35,823.60
  6. Step 6: Final answer
    x = 14,292.29

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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.