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Finding the Fourth Proportional to 10,358.51, 14,295.02 and 5,643.09

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Solution

The fourth proportional to 10,358.51, 14,295.02 and 5,643.09 is: 7,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.51 : 14,295.02 = 5,643.09 : x
  2. Step 2: Convert to fraction form
    10,358.51/14,295.02 = 5,643.09/x
  3. Step 3: Cross multiply
    10,358.51x = 14,295.02 × 5,643.09
  4. Step 4: Simplify right side
    10,358.51x = 80,668,056.20
  5. Step 5: Solve for x
    x = 80,668,056.20/10,358.51
  6. Step 6: Final answer
    x = 7,787.62

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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.