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Finding the Fourth Proportional to 7,947, 10,966.86 and 5,152.50

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Solution

The fourth proportional to 7,947, 10,966.86 and 5,152.50 is: 7,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947 : 10,966.86 = 5,152.50 : x
  2. Step 2: Convert to fraction form
    7,947/10,966.86 = 5,152.50/x
  3. Step 3: Cross multiply
    7,947x = 10,966.86 × 5,152.50
  4. Step 4: Simplify right side
    7,947x = 56,506,746.15
  5. Step 5: Solve for x
    x = 56,506,746.15/7,947
  6. Step 6: Final answer
    x = 7,110.45

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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.