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Finding the Fourth Proportional to 8,459.48, 11,674.00 and 5,058.06

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Solution

The fourth proportional to 8,459.48, 11,674.00 and 5,058.06 is: 6,980.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.48 : 11,674.00 = 5,058.06 : x
  2. Step 2: Convert to fraction form
    8,459.48/11,674.00 = 5,058.06/x
  3. Step 3: Cross multiply
    8,459.48x = 11,674.00 × 5,058.06
  4. Step 4: Simplify right side
    8,459.48x = 59,047,754.99
  5. Step 5: Solve for x
    x = 59,047,754.99/8,459.48
  6. Step 6: Final answer
    x = 6,980.07

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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.