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Finding the Fourth Proportional to 9,569.16, 13,213.71 and 7,353

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Solution

The fourth proportional to 9,569.16, 13,213.71 and 7,353 is: 10,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.16 : 13,213.71 = 7,353 : x
  2. Step 2: Convert to fraction form
    9,569.16/13,213.71 = 7,353/x
  3. Step 3: Cross multiply
    9,569.16x = 13,213.71 × 7,353
  4. Step 4: Simplify right side
    9,569.16x = 97,160,409.63
  5. Step 5: Solve for x
    x = 97,160,409.63/9,569.16
  6. Step 6: Final answer
    x = 10,153.49

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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.