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Finding the Fourth Proportional to 21,333.06, 32,000.06 and 6,541.65

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Solution

The fourth proportional to 21,333.06, 32,000.06 and 6,541.65 is: 9,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,333.06 : 32,000.06 = 6,541.65 : x
  2. Step 2: Convert to fraction form
    21,333.06/32,000.06 = 6,541.65/x
  3. Step 3: Cross multiply
    21,333.06x = 32,000.06 × 6,541.65
  4. Step 4: Simplify right side
    21,333.06x = 209,333,159.79
  5. Step 5: Solve for x
    x = 209,333,159.79/21,333.06
  6. Step 6: Final answer
    x = 9,812.62

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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.