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Finding the Fourth Proportional to 8,670.70, 13,006.02 and 2,430.70

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Solution

The fourth proportional to 8,670.70, 13,006.02 and 2,430.70 is: 3,646.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.70 : 13,006.02 = 2,430.70 : x
  2. Step 2: Convert to fraction form
    8,670.70/13,006.02 = 2,430.70/x
  3. Step 3: Cross multiply
    8,670.70x = 13,006.02 × 2,430.70
  4. Step 4: Simplify right side
    8,670.70x = 31,613,732.81
  5. Step 5: Solve for x
    x = 31,613,732.81/8,670.70
  6. Step 6: Final answer
    x = 3,646.04

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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.