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Finding the Fourth Proportional to 7,645.65, 10,549.76 and 4,808.10

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Solution

The fourth proportional to 7,645.65, 10,549.76 and 4,808.10 is: 6,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.65 : 10,549.76 = 4,808.10 : x
  2. Step 2: Convert to fraction form
    7,645.65/10,549.76 = 4,808.10/x
  3. Step 3: Cross multiply
    7,645.65x = 10,549.76 × 4,808.10
  4. Step 4: Simplify right side
    7,645.65x = 50,724,301.06
  5. Step 5: Solve for x
    x = 50,724,301.06/7,645.65
  6. Step 6: Final answer
    x = 6,634.40

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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.