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Finding the Fourth Proportional to 4,547.76, 6,275.40 and 2,559

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Solution

The fourth proportional to 4,547.76, 6,275.40 and 2,559 is: 3,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.76 : 6,275.40 = 2,559 : x
  2. Step 2: Convert to fraction form
    4,547.76/6,275.40 = 2,559/x
  3. Step 3: Cross multiply
    4,547.76x = 6,275.40 × 2,559
  4. Step 4: Simplify right side
    4,547.76x = 16,058,748.60
  5. Step 5: Solve for x
    x = 16,058,748.60/4,547.76
  6. Step 6: Final answer
    x = 3,531.13

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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.