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Finding the Fourth Proportional to 17,666.52, 26,510.10 and 6,580.92

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Solution

The fourth proportional to 17,666.52, 26,510.10 and 6,580.92 is: 9,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.52 : 26,510.10 = 6,580.92 : x
  2. Step 2: Convert to fraction form
    17,666.52/26,510.10 = 6,580.92/x
  3. Step 3: Cross multiply
    17,666.52x = 26,510.10 × 6,580.92
  4. Step 4: Simplify right side
    17,666.52x = 174,460,847.29
  5. Step 5: Solve for x
    x = 174,460,847.29/17,666.52
  6. Step 6: Final answer
    x = 9,875.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.