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Finding the Fourth Proportional to 9,783.28, 14,606.42 and 8,953.84

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Solution

The fourth proportional to 9,783.28, 14,606.42 and 8,953.84 is: 13,368.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.28 : 14,606.42 = 8,953.84 : x
  2. Step 2: Convert to fraction form
    9,783.28/14,606.42 = 8,953.84/x
  3. Step 3: Cross multiply
    9,783.28x = 14,606.42 × 8,953.84
  4. Step 4: Simplify right side
    9,783.28x = 130,783,547.65
  5. Step 5: Solve for x
    x = 130,783,547.65/9,783.28
  6. Step 6: Final answer
    x = 13,368.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.