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Finding the Fourth Proportional to 6,357.49, 9,526.84 and 6,002.07

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Solution

The fourth proportional to 6,357.49, 9,526.84 and 6,002.07 is: 8,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.49 : 9,526.84 = 6,002.07 : x
  2. Step 2: Convert to fraction form
    6,357.49/9,526.84 = 6,002.07/x
  3. Step 3: Cross multiply
    6,357.49x = 9,526.84 × 6,002.07
  4. Step 4: Simplify right side
    6,357.49x = 57,180,763.42
  5. Step 5: Solve for x
    x = 57,180,763.42/6,357.49
  6. Step 6: Final answer
    x = 8,994.24

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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.