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Finding the Fourth Proportional to 7,047.30, 10,561.76 and 6,302.51

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Solution

The fourth proportional to 7,047.30, 10,561.76 and 6,302.51 is: 9,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.30 : 10,561.76 = 6,302.51 : x
  2. Step 2: Convert to fraction form
    7,047.30/10,561.76 = 6,302.51/x
  3. Step 3: Cross multiply
    7,047.30x = 10,561.76 × 6,302.51
  4. Step 4: Simplify right side
    7,047.30x = 66,565,513.70
  5. Step 5: Solve for x
    x = 66,565,513.70/7,047.30
  6. Step 6: Final answer
    x = 9,445.53

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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.