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Finding the Fourth Proportional to 11,526.16, 15,905.80 and 6,558.16

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Solution

The fourth proportional to 11,526.16, 15,905.80 and 6,558.16 is: 9,050.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,526.16 : 15,905.80 = 6,558.16 : x
  2. Step 2: Convert to fraction form
    11,526.16/15,905.80 = 6,558.16/x
  3. Step 3: Cross multiply
    11,526.16x = 15,905.80 × 6,558.16
  4. Step 4: Simplify right side
    11,526.16x = 104,312,781.33
  5. Step 5: Solve for x
    x = 104,312,781.33/11,526.16
  6. Step 6: Final answer
    x = 9,050.09

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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.