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Finding the Fourth Proportional to 10,047, 13,864.99 and 5,798.95

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Solution

The fourth proportional to 10,047, 13,864.99 and 5,798.95 is: 8,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047 : 13,864.99 = 5,798.95 : x
  2. Step 2: Convert to fraction form
    10,047/13,864.99 = 5,798.95/x
  3. Step 3: Cross multiply
    10,047x = 13,864.99 × 5,798.95
  4. Step 4: Simplify right side
    10,047x = 80,402,383.76
  5. Step 5: Solve for x
    x = 80,402,383.76/10,047
  6. Step 6: Final answer
    x = 8,002.63

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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.