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Finding the Fourth Proportional to 10,807.51, 14,917.14 and 7,040.06

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Solution

The fourth proportional to 10,807.51, 14,917.14 and 7,040.06 is: 9,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.51 : 14,917.14 = 7,040.06 : x
  2. Step 2: Convert to fraction form
    10,807.51/14,917.14 = 7,040.06/x
  3. Step 3: Cross multiply
    10,807.51x = 14,917.14 × 7,040.06
  4. Step 4: Simplify right side
    10,807.51x = 105,017,560.63
  5. Step 5: Solve for x
    x = 105,017,560.63/10,807.51
  6. Step 6: Final answer
    x = 9,717.09

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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.