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Finding the Fourth Proportional to 8,459.60, 12,678.60 and 6,502.10

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Solution

The fourth proportional to 8,459.60, 12,678.60 and 6,502.10 is: 9,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.60 : 12,678.60 = 6,502.10 : x
  2. Step 2: Convert to fraction form
    8,459.60/12,678.60 = 6,502.10/x
  3. Step 3: Cross multiply
    8,459.60x = 12,678.60 × 6,502.10
  4. Step 4: Simplify right side
    8,459.60x = 82,437,525.06
  5. Step 5: Solve for x
    x = 82,437,525.06/8,459.60
  6. Step 6: Final answer
    x = 9,744.85

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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.