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Finding the Fourth Proportional to 6,459.16, 9,701.10 and 4,011.10

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Solution

The fourth proportional to 6,459.16, 9,701.10 and 4,011.10 is: 6,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.16 : 9,701.10 = 4,011.10 : x
  2. Step 2: Convert to fraction form
    6,459.16/9,701.10 = 4,011.10/x
  3. Step 3: Cross multiply
    6,459.16x = 9,701.10 × 4,011.10
  4. Step 4: Simplify right side
    6,459.16x = 38,912,082.21
  5. Step 5: Solve for x
    x = 38,912,082.21/6,459.16
  6. Step 6: Final answer
    x = 6,024.33

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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.