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Finding the Fourth Proportional to 6,368.01, 9,527.30 and 5,582.10

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Solution

The fourth proportional to 6,368.01, 9,527.30 and 5,582.10 is: 8,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.01 : 9,527.30 = 5,582.10 : x
  2. Step 2: Convert to fraction form
    6,368.01/9,527.30 = 5,582.10/x
  3. Step 3: Cross multiply
    6,368.01x = 9,527.30 × 5,582.10
  4. Step 4: Simplify right side
    6,368.01x = 53,182,341.33
  5. Step 5: Solve for x
    x = 53,182,341.33/6,368.01
  6. Step 6: Final answer
    x = 8,351.49

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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.