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Finding the Fourth Proportional to 14,608.16, 21,913 and 4,746.70

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Solution

The fourth proportional to 14,608.16, 21,913 and 4,746.70 is: 7,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.16 : 21,913 = 4,746.70 : x
  2. Step 2: Convert to fraction form
    14,608.16/21,913 = 4,746.70/x
  3. Step 3: Cross multiply
    14,608.16x = 21,913 × 4,746.70
  4. Step 4: Simplify right side
    14,608.16x = 104,014,437.10
  5. Step 5: Solve for x
    x = 104,014,437.10/14,608.16
  6. Step 6: Final answer
    x = 7,120.30

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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.