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Finding the Fourth Proportional to 8,340.84, 11,510.34 and 4,564.00

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Solution

The fourth proportional to 8,340.84, 11,510.34 and 4,564.00 is: 6,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.84 : 11,510.34 = 4,564.00 : x
  2. Step 2: Convert to fraction form
    8,340.84/11,510.34 = 4,564.00/x
  3. Step 3: Cross multiply
    8,340.84x = 11,510.34 × 4,564.00
  4. Step 4: Simplify right side
    8,340.84x = 52,533,213.12
  5. Step 5: Solve for x
    x = 52,533,213.12/8,340.84
  6. Step 6: Final answer
    x = 6,298.31

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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.