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Finding the Fourth Proportional to 15,447.36, 21,312 and 9,474.48

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Solution

The fourth proportional to 15,447.36, 21,312 and 9,474.48 is: 13,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,447.36 : 21,312 = 9,474.48 : x
  2. Step 2: Convert to fraction form
    15,447.36/21,312 = 9,474.48/x
  3. Step 3: Cross multiply
    15,447.36x = 21,312 × 9,474.48
  4. Step 4: Simplify right side
    15,447.36x = 201,920,117.76
  5. Step 5: Solve for x
    x = 201,920,117.76/15,447.36
  6. Step 6: Final answer
    x = 13,071.50

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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.