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Finding the Fourth Proportional to 5,412.10, 7,459.95 and 5,412.10

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Solution

The fourth proportional to 5,412.10, 7,459.95 and 5,412.10 is: 7,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.10 : 7,459.95 = 5,412.10 : x
  2. Step 2: Convert to fraction form
    5,412.10/7,459.95 = 5,412.10/x
  3. Step 3: Cross multiply
    5,412.10x = 7,459.95 × 5,412.10
  4. Step 4: Simplify right side
    5,412.10x = 40,373,995.40
  5. Step 5: Solve for x
    x = 40,373,995.40/5,412.10
  6. Step 6: Final answer
    x = 7,459.95

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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.