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Finding the Fourth Proportional to 9,782.40, 13,499.76 and 5,803.74

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Solution

The fourth proportional to 9,782.40, 13,499.76 and 5,803.74 is: 8,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.40 : 13,499.76 = 5,803.74 : x
  2. Step 2: Convert to fraction form
    9,782.40/13,499.76 = 5,803.74/x
  3. Step 3: Cross multiply
    9,782.40x = 13,499.76 × 5,803.74
  4. Step 4: Simplify right side
    9,782.40x = 78,349,097.10
  5. Step 5: Solve for x
    x = 78,349,097.10/9,782.40
  6. Step 6: Final answer
    x = 8,009.19

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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.