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Finding the Fourth Proportional to 10,588.53, 14,606.06 and 6,602.72

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Solution

The fourth proportional to 10,588.53, 14,606.06 and 6,602.72 is: 9,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.53 : 14,606.06 = 6,602.72 : x
  2. Step 2: Convert to fraction form
    10,588.53/14,606.06 = 6,602.72/x
  3. Step 3: Cross multiply
    10,588.53x = 14,606.06 × 6,602.72
  4. Step 4: Simplify right side
    10,588.53x = 96,439,777.51
  5. Step 5: Solve for x
    x = 96,439,777.51/10,588.53
  6. Step 6: Final answer
    x = 9,107.95

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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.