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Finding the Fourth Proportional to 9,916.16, 14,865.60 and 8,464.64

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Solution

The fourth proportional to 9,916.16, 14,865.60 and 8,464.64 is: 12,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.16 : 14,865.60 = 8,464.64 : x
  2. Step 2: Convert to fraction form
    9,916.16/14,865.60 = 8,464.64/x
  3. Step 3: Cross multiply
    9,916.16x = 14,865.60 × 8,464.64
  4. Step 4: Simplify right side
    9,916.16x = 125,831,952.38
  5. Step 5: Solve for x
    x = 125,831,952.38/9,916.16
  6. Step 6: Final answer
    x = 12,689.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.