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Finding the Fourth Proportional to 8,505.96, 12,710.14 and 6,493.51

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Solution

The fourth proportional to 8,505.96, 12,710.14 and 6,493.51 is: 9,703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.96 : 12,710.14 = 6,493.51 : x
  2. Step 2: Convert to fraction form
    8,505.96/12,710.14 = 6,493.51/x
  3. Step 3: Cross multiply
    8,505.96x = 12,710.14 × 6,493.51
  4. Step 4: Simplify right side
    8,505.96x = 82,533,421.19
  5. Step 5: Solve for x
    x = 82,533,421.19/8,505.96
  6. Step 6: Final answer
    x = 9,703.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.