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Finding the Fourth Proportional to 9,713.10, 14,569.65 and 4,448.10

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Solution

The fourth proportional to 9,713.10, 14,569.65 and 4,448.10 is: 6,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.10 : 14,569.65 = 4,448.10 : x
  2. Step 2: Convert to fraction form
    9,713.10/14,569.65 = 4,448.10/x
  3. Step 3: Cross multiply
    9,713.10x = 14,569.65 × 4,448.10
  4. Step 4: Simplify right side
    9,713.10x = 64,807,260.17
  5. Step 5: Solve for x
    x = 64,807,260.17/9,713.10
  6. Step 6: Final answer
    x = 6,672.15

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.