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Finding the Fourth Proportional to 9,774.86, 13,478.78 and 9,569.79

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Solution

The fourth proportional to 9,774.86, 13,478.78 and 9,569.79 is: 13,196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.86 : 13,478.78 = 9,569.79 : x
  2. Step 2: Convert to fraction form
    9,774.86/13,478.78 = 9,569.79/x
  3. Step 3: Cross multiply
    9,774.86x = 13,478.78 × 9,569.79
  4. Step 4: Simplify right side
    9,774.86x = 128,989,117.98
  5. Step 5: Solve for x
    x = 128,989,117.98/9,774.86
  6. Step 6: Final answer
    x = 13,196.01

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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.