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Finding the Fourth Proportional to 15,724.71, 21,697.65 and 9,009.06

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Solution

The fourth proportional to 15,724.71, 21,697.65 and 9,009.06 is: 12,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.71 : 21,697.65 = 9,009.06 : x
  2. Step 2: Convert to fraction form
    15,724.71/21,697.65 = 9,009.06/x
  3. Step 3: Cross multiply
    15,724.71x = 21,697.65 × 9,009.06
  4. Step 4: Simplify right side
    15,724.71x = 195,475,430.71
  5. Step 5: Solve for x
    x = 195,475,430.71/15,724.71
  6. Step 6: Final answer
    x = 12,431.10

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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.