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Finding the Fourth Proportional to 10,598.40, 14,626.08 and 5,882.40

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Solution

The fourth proportional to 10,598.40, 14,626.08 and 5,882.40 is: 8,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.40 : 14,626.08 = 5,882.40 : x
  2. Step 2: Convert to fraction form
    10,598.40/14,626.08 = 5,882.40/x
  3. Step 3: Cross multiply
    10,598.40x = 14,626.08 × 5,882.40
  4. Step 4: Simplify right side
    10,598.40x = 86,036,452.99
  5. Step 5: Solve for x
    x = 86,036,452.99/10,598.40
  6. Step 6: Final answer
    x = 8,117.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.