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Finding the Fourth Proportional to 7,587.80, 10,465.93 and 5,035.08

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Solution

The fourth proportional to 7,587.80, 10,465.93 and 5,035.08 is: 6,944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.80 : 10,465.93 = 5,035.08 : x
  2. Step 2: Convert to fraction form
    7,587.80/10,465.93 = 5,035.08/x
  3. Step 3: Cross multiply
    7,587.80x = 10,465.93 × 5,035.08
  4. Step 4: Simplify right side
    7,587.80x = 52,696,812.04
  5. Step 5: Solve for x
    x = 52,696,812.04/7,587.80
  6. Step 6: Final answer
    x = 6,944.94

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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.