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Finding the Fourth Proportional to 7,582.60, 10,401.77 and 7,485.40

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Solution

The fourth proportional to 7,582.60, 10,401.77 and 7,485.40 is: 10,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.60 : 10,401.77 = 7,485.40 : x
  2. Step 2: Convert to fraction form
    7,582.60/10,401.77 = 7,485.40/x
  3. Step 3: Cross multiply
    7,582.60x = 10,401.77 × 7,485.40
  4. Step 4: Simplify right side
    7,582.60x = 77,861,409.16
  5. Step 5: Solve for x
    x = 77,861,409.16/7,582.60
  6. Step 6: Final answer
    x = 10,268.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.