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Finding the Fourth Proportional to 10,465.01, 14,451.09 and 7,807.81

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Solution

The fourth proportional to 10,465.01, 14,451.09 and 7,807.81 is: 10,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.01 : 14,451.09 = 7,807.81 : x
  2. Step 2: Convert to fraction form
    10,465.01/14,451.09 = 7,807.81/x
  3. Step 3: Cross multiply
    10,465.01x = 14,451.09 × 7,807.81
  4. Step 4: Simplify right side
    10,465.01x = 112,831,365.01
  5. Step 5: Solve for x
    x = 112,831,365.01/10,465.01
  6. Step 6: Final answer
    x = 10,781.77

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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.