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Finding the Fourth Proportional to 10,513.79, 14,509.02 and 5,798.07

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Solution

The fourth proportional to 10,513.79, 14,509.02 and 5,798.07 is: 8,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.79 : 14,509.02 = 5,798.07 : x
  2. Step 2: Convert to fraction form
    10,513.79/14,509.02 = 5,798.07/x
  3. Step 3: Cross multiply
    10,513.79x = 14,509.02 × 5,798.07
  4. Step 4: Simplify right side
    10,513.79x = 84,124,376.14
  5. Step 5: Solve for x
    x = 84,124,376.14/10,513.79
  6. Step 6: Final answer
    x = 8,001.34

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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.