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Finding the Fourth Proportional to 9,804.24, 13,510.53 and 9,681.66

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Solution

The fourth proportional to 9,804.24, 13,510.53 and 9,681.66 is: 13,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.24 : 13,510.53 = 9,681.66 : x
  2. Step 2: Convert to fraction form
    9,804.24/13,510.53 = 9,681.66/x
  3. Step 3: Cross multiply
    9,804.24x = 13,510.53 × 9,681.66
  4. Step 4: Simplify right side
    9,804.24x = 130,804,357.88
  5. Step 5: Solve for x
    x = 130,804,357.88/9,804.24
  6. Step 6: Final answer
    x = 13,341.61

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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.