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Finding the Fourth Proportional to 5,164.10, 7,746.15 and 4,702.40

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Solution

The fourth proportional to 5,164.10, 7,746.15 and 4,702.40 is: 7,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.10 : 7,746.15 = 4,702.40 : x
  2. Step 2: Convert to fraction form
    5,164.10/7,746.15 = 4,702.40/x
  3. Step 3: Cross multiply
    5,164.10x = 7,746.15 × 4,702.40
  4. Step 4: Simplify right side
    5,164.10x = 36,425,495.76
  5. Step 5: Solve for x
    x = 36,425,495.76/5,164.10
  6. Step 6: Final answer
    x = 7,053.60

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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.