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Finding the Fourth Proportional to 10,365.02, 14,303.05 and 5,828.40

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Solution

The fourth proportional to 10,365.02, 14,303.05 and 5,828.40 is: 8,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.02 : 14,303.05 = 5,828.40 : x
  2. Step 2: Convert to fraction form
    10,365.02/14,303.05 = 5,828.40/x
  3. Step 3: Cross multiply
    10,365.02x = 14,303.05 × 5,828.40
  4. Step 4: Simplify right side
    10,365.02x = 83,363,896.62
  5. Step 5: Solve for x
    x = 83,363,896.62/10,365.02
  6. Step 6: Final answer
    x = 8,042.81

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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.