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Finding the Fourth Proportional to 9,164.16, 13,800.06 and 6,585.12

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Solution

The fourth proportional to 9,164.16, 13,800.06 and 6,585.12 is: 9,916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.16 : 13,800.06 = 6,585.12 : x
  2. Step 2: Convert to fraction form
    9,164.16/13,800.06 = 6,585.12/x
  3. Step 3: Cross multiply
    9,164.16x = 13,800.06 × 6,585.12
  4. Step 4: Simplify right side
    9,164.16x = 90,875,051.11
  5. Step 5: Solve for x
    x = 90,875,051.11/9,164.16
  6. Step 6: Final answer
    x = 9,916.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.