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Finding the Fourth Proportional to 9,346.78, 12,898.10 and 5,569.86

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Solution

The fourth proportional to 9,346.78, 12,898.10 and 5,569.86 is: 7,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.78 : 12,898.10 = 5,569.86 : x
  2. Step 2: Convert to fraction form
    9,346.78/12,898.10 = 5,569.86/x
  3. Step 3: Cross multiply
    9,346.78x = 12,898.10 × 5,569.86
  4. Step 4: Simplify right side
    9,346.78x = 71,840,643.51
  5. Step 5: Solve for x
    x = 71,840,643.51/9,346.78
  6. Step 6: Final answer
    x = 7,686.14

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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.